5 as an angle where the values of the six trigonometric functions are known divided by 2 2. Use an appropriate Half-Angle Formula to find the exact value of the expression. cos (C) Step 2: Click the blue arrow to submit.The double angle formulas let us easily find the functions of twice the angle.5)cos (112.5) cos ( 67. Who are the experts? Experts are tested by Chegg as specialists in their subject area. Solve.5^{\circ} 112. cosø/2 c. Select the correct choice below and ill in the an Type an integer or a decimal.5 °) = 0.5 from both sides. - √1 - cos(225) 1 + cos(225) Rewrite 112.5) cos ( 112.5 degrees Algebra: Trigonometry Solvers Lessons Answers archive Click here to see ALL problems on Trigonometry-basics Question 544713: Find the exact values using double angle formulas: a) cos 112. 112. We can use two of the three double-angle formulas for cosine to derive the reduction formulas for sine and cosine. Step 4. θ = 0, π 2, 3π 2, or 2π. Trigonometry.5) cos 2 ( 112. He has been teaching from the past 13 years. sin(225 2) sin ( 225 2) Apply the sine half - angle identity. 699 * 533. cos (112. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. cos(225 2) cos ( 225 2) Apply the … The exact value of cos(112.7k points) inverse trigonometric functions; class-12; Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Trigonometry. The Half-Angle Identity is #1+costheta=2cos^2(theta/2)#.5 degrees is in quadrant II and cosine is negative in Quadrant II therefore the final answer will be negative. Only the positive number is accepted because the arc 112. Find the Exact Value sin (157. It is the complement to the sine. ⇒ sin(2 θ ) = 2sin( θ )cos( θ ). Next, solve the 3 basic trig equations: tan( x 2) = t = 0;tan( x 2) = − 3; and tan( x 2) = 1. sin 2 θ = 2 sin 2 θ 2 sin 2 θ = 2 ( 1 − cos θ 2) Half angle identity 1 − cos 2 θ = 1 − cos θ Pythagorean identity cos θ − cos 2 θ Trigonometry. The COS is composed of a leadership element plus five distinct teams, said Lt. Accepts values in radians and in degrees.5) Rewrite 112. Jawaban terverifikasi.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. A triangle with sides 5, 12 and 13 is a right angled triangle, since 52 +122 = 25+ 144 = 169 = 132.5 = 2 + √2 4 = 0. Answer:Step 1: Write down the decimal divided by 1, like this: decimal1. In this case, 250° lies in the third quadrant. Free online cosine calculator. sin di sore ini kita akan menghitung nilai dari sin 112,5 derajat Nah di sini karena sudutnya bukan sudut istimewa maka disini kita gunakan rumus sudut ganda, maka di sekitar akan agar sudut 112,5 derajat ini menjadi sudut istimewa kita gunakan Cos 2 Alfa = 1 min 2 Sin kuadrat Alfa karena disini terdapat Sin kuadrat Alfa Sin Alfa nya maka ketika dikalikan 2 Alfa nya yaitu 2 dikali 112,5 derajat Use the half-angle formulas to evaluate the given functions.5 ° as an angle where the values of the six trigonometric functions are known divided by 2 2.cos (112.5) Multiply 2 2 by 112. The Cosine Sum and Difference Identities. tan(0) Show transcribed image text. cos 112. Tulis kembali sebagai sebuah sudut di mana nilai dari enam fungsi trigonometrinya yang diketahui dibagi dengan .5 112. Answer link.5 miles to port 2. Choose "Solve the Triangle" from the topic selector and click to see the result in our Trigonometry Calculator! Examples-Solve the Triangle . cos(112. Jawabannya adalah 2√2 - 4. Use the Half-angle Formulas to find the exact value of the expression cos 112.θ 2 nis 2 − 1 = θ 2 soc :enisoc rof alumrof elgna elbuod eht htiw trats ll'ew ,siht od oT .
Half Angle Formulas. What is the distance from port 3 to port 1? Draw a diagram to help you.5^{\;\circ} 112.) Get more help from Chegg .
Rewrite 112.5^@)# #:. The sign of cos ( θ) is determined by the quadrant. Solve it with our Pre-calculus problem solver and calculator.
Question Help Use the Half-angle Formulas to find the exact value of the expression cos 112.
cosine, 112.5) Step 1. 5 ∘ lies in second quadrant and in this quadrant value of cos \cos cos is negative. Use our cos (x) calculator to find the cosine of 112 degrees - cos (112 °) - or the cosine of any angle in degrees and in radians. 12 sin 15° sin 165° C.023.5) is √2−√2 2 2 - 2 2. sserpxe eht ni srebmun yna rof snoitcarf ro sregetni esU . Rationalize the denominator if necessary.
29 November 2021 23:28.000/bulan. V2 + v2 C.5° = - The double and half angle formulas are strategies that are meant to help simplify to an exact answer when feasible.5°) sin ( 112. ± √1 - cos(225) 1 + cos(225) Change the ± to - because tangent is negative in the second quadrant. tan(225 2) Apply the tangent half - angle identity. Question.
Use a half-angle formula to find the exact value of the following expression. Method 2: Adjacent / Hypotenuse.5) The exact value of cos(67. Concept: Inverse Trigonometric Functions - Inverse Trigonometric Functions - Principal Value Branch
a.5) cos ( 112.
Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. arrow_forward. Fungsi Trigonometri; Trigonometri; TRIGONOMETRI; Matematika. 4 \sin \theta \cos \theta = 2 \sin \theta.5%-cos sin 112. 2 12 23 Expert Solution. tan( − θ) = −tanθ = − 12 5. cos 112° cos 45° + sin 112° sin 45° Found 2 solutions by ikleyn, MathTherapy:
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The exact value of sin 45 degrees is √2/2 and cos 90 To ask Unlimited Maths doubts download Doubtnut from - Find the value of `cos^2 112 1/2^@-sin^2 52 1/2^@` Question 1018132: Write the expression as the sine, cosine, or tangent of an angle.5^{\circ}$. ±√ 1−cos(225) 2 ± 1 - cos ( 225) 2.5°.85 sin112. There are 2 steps to solve this one. cos 70° b. The Cosine function ( cos (x) ) The cosine is a trigonometric function of an angle, usually defined for acute angles within a right-angled triangle as the ratio of the length of the adjacent side to the hypotenuse. $\cos 112. Halo, Habilla.5\text{\textdegree} 112. arrow_forward.37460659… - 0. Draw 135 in standard position, locate a convenient point on the terminal side, and then find sin 135, cos 135, and tan 135. Simplify .5) cos ( 67. Special Angles - 30°, 45°, 60°.5)=- (1+sqrt (2)) 112. 5 270° to 360° — fourth quadrant.5)cos (67. Використовуючи таблицю косинусів, ви можете провести розрахунки, навіть якщо під рукою не виявиться інженерного калькулятора. Tap for more steps − √2 2 - 2 2 Expert Answer. tan (112.5° Determine an appropriate half-angle formula for sine and the measure of the angle. Frequently Asked Questions (FAQ) What is the value of cos(112. Solve 2cos2x 2 = 1 for 0 ≤ x < 2π. Exact Form: cos(112) cos ( 112) Decimal Form: −0. This is the same calculation as Side-Side-Side (SSS) Theorem.5°=- sin 112 5°- sin 112. Graph. The half-angle formula for cosine is given as: cos (theta/2) = ±√ [ (1 + cos (theta))/2] In this case, we want to find cos (112. 1 − t2 +4t = (1 + t)(1 +t2) t3 +2t2 − 3t = t ⋅ (t2 + 2t − 3) = 0. 5 ∘ 112. Tentukan nilai dari cos 112,5° dengan menggunakan rumus sudut tengahan - 35416074. Knowledge Booster. Tap for more steps Detailed step by step solution for cos(112.5 as an angle where the values of the six trigonometric functions are known divided by 2. sin 112.5) cos ( 112.1: Graph of y = sin(3x) + sin(x).5 degrees b) tan 22. Example 66 Verify the identity: 1 cos2 tan Davneet Singh has done his B. Half Angle Formulas. sin 112. 5 ∘? Select the correct choice below and fill in the answer box to complete your choice. Since the cotangent function is a periodic function, we can represent cot 225° as, cot 225 degrees = cot (225° + n × 180°), n ∈ Z. Note: angle unit is set to degrees.5 as an angle where the values of the six trigonometric functions are known divided by 2 2. To find the exact value of cos (112. Let's look at some problems that use the half angle formula.5) 2 sin ( 112. We have to find value of cos 112. cos (x) kalkulator.5° = - The double and half angle formulas are strategies that are meant to help simplify to an exact answer when feasible.5°) Need Help? 1 Read It This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.5 degrees ) sin(112.5) sin ( 112. Use integers or fractions for any numbers in the expression. - √1 - cos(225) 1 + cos(225) Free trigonometric function calculator - evaluate trigonometric functions step-by-step. There are 3 steps to solve this one. Tap for more steps − √2 2 - 2 2 The result can be shown in multiple forms.5\right)}}{2} This equation is in standard form: ax^{2}+bx+c=0.5, you can do this twice and find the cos(112. To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians.5) sin ( 2 ⋅ 112. To find this answer on the unit circle, we start by finding the sin and cos values as the y-coordinate and x-coordinate, respectively: sin 30° = 1/2 and cos 30° = √3/2.5) sin ( 112. Find the Exact Value sin (112. Thus, we use the - sign in the half-angle formula.5) Multiply 2 2 by 112.5) cos ( 2 ⋅ 112. To solve 2cos2x 2 = 1, first we need to isolate cosine, then use the half angle cos 112.5) cos (112. Factor \frac{{(-1)} \cdot 1387431827466341 \cdot 3 ^ {3}}{2 ^ {17} \cdot 5 ^ {17}} \approx -0. Pilih jenis sudut derajat (°) atau radian (rad) di kotak kombo. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. Simplify −√ 1+cos(225) 2 - 1 + cos ( 225) 2.11. cos 112. So its double is second quadrant, negative cosine. Solve the trigonometric equation sin2θ = 2sin2θ 2 over the interval [0, 2π). Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. and cos(tan−1( − Use a half-angle identity to find the exact value of cos 112.5 deg is in Quadrant II, its tan is negative, then only the negative answer is accepted : (-1 - sqrt2) Answer link. Free math problem solver answers your trigonometry homework questions with step-by-step explanations.5. Underneath the calculator, the six most popular trig functions will appear - three basic ones: sine, cosine, and tangent, and their reciprocals: cosecant, secant, and cotangent.5) is − √2−√2 2 - 2 - 2 2. Substitute 1 for a, 0 for b, and -112. b) tan 22. Tap Let's look at some problems that use the half angle formula. sin(2⋅112. Taking, #theta=2xx67. Also called the power-reducing formulas, three identities are included and are easily derived from the double-angle formulas. 5 ∘ 112.3.5∘ = [?] −. Practice your math skills and learn step by step with our math solver.5) Rewrite 112. Nilai 1/2 cos 112,5 sin 67,5 = .5° 112. Then cosθ = 0 or 1 − cosθ = 0, which is cosθ.5 as an angle where the values of the six trigonometric functions are known divided by 2. 1.5.5) - sin 2 ( 112. (a)cos 112 30'=cos112. Pertanyaan lainnya untuk Fungsi Trigonometri. Use the half angle identity to find exact value of sin 112.5°=- sin 112 5°- sin 112.5 Degree cos 112.5) cos ( 112. Let's look at some problems that use the half angle formula.5) cos (112. $\tan 15^{\circ}$.5 ° as an angle where the values of the six trigonometric functions are known divided by 2 2.1. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest Since t = 112.5)^2 cos2 (112. The field emerged in the Hellenistic world during … Popular Problems Trigonometry Find the Exact Value cos (112. Solve for \ ( {\sin}^2 \theta\): Find the Exact Value cos(157. cos(1659) -/5 Points] DETAILS SPRECALC7 7. sin 57° cos 13° - cos 57° sin 13° Select one: a. (Simplify your answer, including any radicals. Tap for more steps − √2−√2 2 cos(67. cos 112.5 ° To enter an angle in radians, enter cos(1. cos(225 2) cos ( 225 2) Apply the cosine half - angle identity cos( x 2) = ±√ 1+cos(x) 2 cos ( x 2) = ± 1 + cos ( x) 2. sin (13 pi/12) Show transcribed image text.5.5° = (Type an exact answer, using radicals as needed.π2 ro ,2 π3 ,2 π ,0 = θ . ∴ cos 112.37460659341591207.5 ° as an angle where the values of the six trigonometric functions are known divided by 2 2.
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May 25, 2015 Use trig identity: 2sin^2 a = 1 - cos 2a cos2(112,5) = cos225 = cos(45 +180) = − cos45 = − √2 2 2sin2112.5° Which half-angle formula should be used to find the exact value of sin 112. 5 ∘ using half angle formula. V2 + v2 4 O D. Find the Exact Value cos (112. cos (60°) is exactly: 1/2. Step 1: Enter the Equation you want to solve into the editor.5) Trig calculator finding sin, cos, tan, cot, sec, csc.5). Step 2. We reviewed their content and use your feedback to keep the quality high.5 112. Prove: cos − 1 4 5 + cos − 1 12 13 = cos − 1 33 65 Bentuk trigonometri 8 sin 22,5 cos 112,5=. 1 − sin ( x) 2 csc ( x) 2 − 1. In this example, the angle 112. Arithmetic.5 Degree = (Simplify your answer, including any radicals.5^{\circ}$$ 01:51. ±√ 1−cos(225) 2 ± 1 - cos ( 225) 2. Transcribed image text: Calculate the exact value of cos112. Solve 2cos2x 2 = 1 for 0 ≤ x < 2π. 5 ∘.5 ∘ = sin 225 ∘ 2 = ± √ 1 − cos 225 ∘ 2 = + √ Find step-by-step Precalculus solutions and your answer to the following textbook question: Use an appropriate Half-Angle Formula to find the exact value of the expression. Step 1.5RAD) cos(1. cos (x) calculator. Himpunan penyelesaian persamaan akar(3) sin 2x + cos 4x Tonton video.5) Apply the cosine double - angle identity. At this point the correct sign has to be decided. sin − 1 3 5 + cos Таблиця косинусів - це записані в таблицю пораховані значення косинусів кутів від 0° до 360°.5° = (Type an exact answer, using radicals as needed.) O A. Who are the experts? Experts are tested by Chegg as specialists in their subject area. Change the to because cosine is negative in the second quadrant. Change the ± ± to + + because sine is positive in the Use the Half-angle Formula to find the exact value of the expression cos 112. Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths. cos (x) calculator. There are … Product-to-Sum Identities. Prove that: cos^-1 4/5 + cos ^-1 12/13 = cos^-1 33/65. Domain and Range of Basic Inverse Trigonometric Functions. Use integers or fractions for any numbers in the express .5° = 225° /2, we use the half-angle formula for cos α/2 with α = 225°. Change the ± ± to + + because sine is First, let's apply the Law of Sines to the triangle in Figure 5 to obtain the double-angle identity for sine. Step 1. 1 + cos OD.5 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Step 1.In fact, the main tool to find the sin, cos, and tan half-angle formulas are the power reducing identities.5° < 0. e^2 = 11^2 + 9^2 − 2(11)(9)cos(140°) From port 1, the ferry travels east 3. cos ( 2 arctan (12/5) ) = cos arctan ( {-120}/ { 119}) = pm 119/sqrt {120^2+119^2 Exact Trigonometric Function Values.5 112. cos (112) cos ( 112) The result can be shown in multiple forms. y = 3x + 4. sin 2 θ = 2 sin 2 θ 2 sin 2 θ = 2 ( 1 − cos θ 2) Half angle identity 1 − cos 2 θ = 1 − cos θ Pythagorean identity cos θ − cos 2 θ How do you use the half angle formulas to determine the exact values of sine, cosine, and tangent of the angle #112^circ 30'#? Trigonometry Trigonometric Identities and Equations Half-Angle Identities Trigonometry. cos(A − B) = cos(A)cos(B) + sin(A)sin(B) cos(A + B) = cos(A)cos(B) − sin(A)sin(B) Figure 4. sin(2⋅112. Use the half-angle identities to find the exact value of each trigonometric expression. What is the exact value of cos 112. cos 112. Show transcribed image text. sin B = sin (A + B) - sin (A - B) = 4 (sin (112,5 + 22,5)° - sin (112,5 - 22,5)°) = 4 (sin 135° - sin 90°) catatan: sin 135° = sin (180 - 45)° = sin 45° = ½√2 maka: = 4 Question: Use an appropriate Half-Angle Formula to find the exact value of the expression.5) is -(sqrt(2-\sqrt{2)})/2 Trigonometry.5) Apply the sine double - angle identity.25) degrees.5 is located in Quadrant II. 2cos^2(67.5 ? O A. Rewrite as an angle where the values of the six trigonometric functions are known divided by . cos (60°) is exactly: 1/2. (a) cos 112 30'. cos(2Arctan( 12 5)) = − 119 169.5) Rewrite 112.if cosø=-4/5,ø in quadrant 2 find the following a.5\text{\textdegree}=\cos\dfrac{225\text{\textdegree}}{2}=\pm\sqrt{\dfrac{1+\cos225\text{\textdegree}}{2}} … Use the Half-angle Formulas to find the exact value of the expression cos 112. Col. Solve the trigonometric equation sin2θ = 2sin2θ 2 over the interval [0, 2π).5) Step 1.5° Determine an appropriate half-angle formula for sine and the measure of the angle. Then cosθ = 0 or 1 − cosθ = 0, which is cosθ. sin (112. NCERT Solutions For Class 12. Sin2A and Cos2A in Terms of tanA. ±√ 1−cos(315) 2 ± 1 - cos ( 315) 2. If we want the principal value, arctan(12 5) is first quadrant, more than 45∘.IG CoLearn: @colearn. Use integers or fractions for … This can help simplify the equation to be solved.5°? Select the correct choice below and fill in the answer boxes to complete your choice (Type integers or decimals) 1 + cos O A.5 degree) Use an appropriate Half-Angle Formula to find the exact value of the expression.5° Which Half-angle formula should be used to find the exact value of the cos 112. Expert Answer.5) = sin t = sqrt(2 + sqrt2)/2. Rumus Jumlah dan Selisih Sinus, Cosinus, Tangent berarti sebelah sana juga meningkatkan angka biar tidak berubah di sini kita kalinya 44 akan jadi 1/4 dalam kurung 2cos 112,5 derajat * dengan Sin 67,5 derajat maka di sini akan sama dengan 1 per 4 dikali dengan Sin dalam kurung Alfa itu 112,5 + dengan 67,5 Question: Use a half-angle identity to find the exact value.5) sin ( 2 ⋅ 112. Principal value of cos − 1 (− 1 / 2) is equal to Solution Because 112. Expert Answer. Use a reference angle to find the exact value of cos210o. Here, we'd like to do the same, but instead of multiplying the angle by two, we'll divide it. Show your work.0-etaulavE . Ubah menjadi karena kosinus negatif di kuadran kedua.5)cos (67.5 = cos (225/2) = … Free trigonometric function calculator - evaluate trigonometric functions step-by-step. tan (112.5°? Select the correct choice below and fill in the answer boxes to complete your choice. Finally, csc 112.yrtemonogirT !oG . cos112. When doing trigonometry there are multiple ways to get a correct answer.5 degrees b) tan 22.5) The exact value of cos(112.
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Since t = 112.211 soc\$$ . In the illustration below, cos (α) = b/c and cos (β) = a/c.
Trigonometry. RT.5 degrees
7 verified Verified answer What is the present value of a cash inflow of 1250 four years from now if the required rate of return is 8% (Rounded to 2 decimal places)? star 4. Apply the cosine half - angle identity cos( x 2) = ±√ 1+cos(x) 2 cos ( x 2) = ± 1 + cos ( x) 2. cos 112° cos 45° + sin 112° sin 45° Found 2 solutions by ikleyn, MathTherapy:.37460659 …. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. Cosine of the sum of two angles, α and β, is given by: cos (α + β) = cos (α)cos (β) - sin (α)sin (β)
Trigonometry.5 ° is negative and the positive solution is refused
Use the Half-angle Formulas to find the exact value of the expression cos 112.5) cos ( 67.5 ° 112. sin(225 2) sin ( 225 2) Apply the sine half - angle identity. cos(112.5)cos(67. tan(0) Show transcribed image text.5) ? The value of cos(112.5 ∘ is a second quadrant angle, and the sin of a second quadrant angle is positive. cos 1125º = cos 2 OB.1 /5 heart 8 verified Verified answer
Find all solutions in radians using exact values only. 8 cos 112,5° . Free online cosine calculator. Which Half-angle Formula should be used to find cos 112.
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q5 One branch of cos -1 other than the principal value branch corresponds to ( a ) π 2 , 3 π 2 ( b ) π , 2 π - 3 π 2 ( c ) 0 , π ( d ) 2 π , 3 π View Solution
Ikut Bimbel online CoLearn mulai 95. In conclusion
The Law of Cosines states that the square of any side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the included angle. $$\sin 112.5° 2 Ов.
Question Help Use the Half-angle Formulas to find the exact value of the expression cos 112. $$ \tan 112. 5 ∘ = 9 0 ∘ + 22.id yuk latihan soal ini!Nilai 1/2 cos 112,5 sin
cos(2arctan( 12 5)) = cosarctan( −120 119) = ± 119 √1202 +1192 = ± 119 169. Change the ± ± to + + because sine is positive in the
Find cos (75 deg) Ans: +- (sqrt(2 - sqrt3))/2 Call cos 75 = cos t --> cos 2t = cos 150 cos 150 = cos (-30 + 180) = - cos 30 = -(sqrt3)/2 Use trig identity: cos 2t
Cos 30-degree value is √3/2. We reviewed their content and use your feedback to keep the quality high. Question.5 ° \cos112.5 112.
8 sin 22,5° cos 112,5° b.5) = 1/sin (112.
Davneet Singh has done his B.)
Nah ini langsung kita kerjakan soal jadi di sini soalnya 6 Sin dari 112,5 Derajat dikali Sin 22,5 derajat untuk mempermudah perhitungan agar sesuai dengan konsep kita Ubah menjadi 3 dikali dengan min 2 dikali Sin tetap 112,5 derajat dikali Sin 22,5 derajat ini tetap kemudian ini min 2 Sin 112,5 derajat dikali Sin 22,5 derajat per menit
What is tan 30 using the unit circle? tan 30° = 1/√3.5\text{\textdegree} cos 112. Apply the cosine half - angle identity cos( x 2) = ±√ 1+cos(x) 2 cos ( x 2) = ± 1 + cos ( x) 2. Solving this for sin α 2, we get
Use an appropriate Half-Angle Formula to find the exact value of the expression. "We have cyber threat emulation; mission protection; Hunt - also known as [defensive cyber infiltration]; the support element and cyber readiness. tan(225 2) Apply the tangent half - angle identity.2. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Tentukan nilai y = sec^2 x, di x=pi/3.5^@)=1+cos(180^@-45^@)=1-cos45
Simplify Using Half-Angle Formula sin (112.
misal ini kita akan menentukan nilai dari cos 112,5 derajat Nah karena disini sudutnya bukan sudut istimewa di sini kita gunakan rumus sudut ganda di mana Kalau kita kalikan 2 yaitu 112,5 derajat Nya maka akan menghasilkan sudut istimewa yaitu 225 derajat sehingga disini kita gunakan rumus dari Cos 2 Alfa = 2 cos kuadrat Alfa min 1 dimana 112,5 derajat ini sebagai Alfa sehingga disini kita
Free math problem solver answers your homework questions with step-by-step explanations." So, although the pieces of the COS are
`cos^(-1) 12/13 + sin^(-1) 3/5 = sin^(-1) 56/65` Hence proved.