Show that each of the following is true.sin (90 degree + theta ) =cos theta

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

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Q: Use a sum or difference formula to find the exact value of the following. 2л Cos 15 2л sin 15 CoS 5…

A: Given,         cosπ5cos2π15-sinπ5sin2π15We know that,         cosA+B=cosAcosB-sinAsinB

Q: with A in QII, find the following. If sin A 5 Cos

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Q: Find sin π/4, cos π/4, and tan π/4.

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Q: Find the identical expression for the following. 1-sin^4 theta/1+sin^2 theta

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Q: Find the exact value of each expression.

A: The given expression can be evaluated using the cosine of sum of angles formula or the compound…

Q: Use exact values to show that each of the following is true.     cos 120 degree = cos2 60 degree 2…

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Q: If α and β are acute angles such that cos α = 15/17  and tan β = 3/4 , find the following. (a)…

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Q: 6. If sin a = -1, what is cos a?

A: The trigonometric functions include 6 functions. The trigonometric terms can be calculated using the…

Q: Suppose that 0 is in the 2nd quadrant and that sin 0 = . Calculate each of the following. a. cos e =…

A: We can find the identities as below

Q: Apply the appropriate formula to evaluate the following. a. 2 sin 15° cos 15° * cos 21 - sin sin 9…

A: a. 2 sin15° cos15°=sin215°       ∵sin2x=2 sinx cosx=sin30°=12

Q: 3n 1) sin 2) сos 210° 5n 3) cos 4) sin 4.

A: 1) Given:         sin3π4      Use the following identity:          sinx=cosπ2-x…

Q: Find the exact value of each expression. (a) sin 33° cos 12° + cos 33° sin 12°

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Q: If sin  A  = 5/13 with A ,find the following  cos A/2

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Q: Which of the following statements must be true? Select all that apply. sin A = cos A sin B = cos A

A: Explanation and solution is given below....

Q: Which of the following expressions is NOT equivalent to sin75°? sin45° + sin30° O sin45°cos30° +…

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Q: Find the exact value of each expression given in attachment.

A: Given: costan-1 512-sin-1-35  ……1

Q: Find the exact value of each expression. (a) sin 22° cos 8° + cos 22° sin 8° (b) sin 75° (c) 11T sin…

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Q: If the sin 30⁰ is 1/2, then the cos ____⁰=_____.

A: Use the property of sin(90°-thetha)=cos(thetha)

Q: If ß is such that sin 230, the of the following two values?

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Q: If sin A = 3/5 with A in QI and cos B = - 5/13 with B in QIII, find sin (A + B), cos (A + B), and…

A: Given: sinA=35, cosB=-513 here, A is in first quadrant and B is in third quadrant  we know that in…

Q: If cos A=7/8  with A in QIV, find sin(A/2)

A: We have to find sin angle

Q: Find the exact value of each expression.

A: We have to find the exact value of the following trigonometric expression:…

Q: Find the exact value of cos a/2 given that tan a = 15/8 ,a lies in Quad III.

A: Given: tan a=158 a is lies in Quadrant III. We have to find the exact value of cosa2 Use the…

Q: Find sin(2a), cos(2a), and tan(2a).

A: Here we have,

Q: Find the exact value of each expression (a) sin 26° cos 4° cos 26° sin 4° (b) sin 75° sin 5T 12 (c)

A: (a) The given trigonometric expression is

Q: Show that each of the following is true.cos (x - pi/2) = sin x

A: Given: cosx-π2=sin x To show: The given identity is true.

Q: Show that each of the following is true.sin (180 degree - theta ) = sin theta

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Q: Find the exact value of each expression.

A: the given expression is: cos5π12cos7π12-sin5π12sin7π12 we have to find the exact value of the given…

Q: Show that each of the following is true. cos (x - pi/2) = sin x

A: Explanation: There is a Trigonometry Identities that: cos(A−B)=cos(A)cos(B)+sin(A)sin(B)

Q: a. cos (α - β) b. tan 1/2α c. sin2β

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Q: Find an exact value for each of the following: 31A sin 12

A: We have to use trigonometric identities to solve the given problem. Sinπ\3 = √3/2 Sin π\4 = 1/√2 Cos…

Q: If cos A  = 1/2 with A ,find the following  sin A/2

A: Given: cos A = 12 To find: sin A2

Q: Let sin θ = −5/13, and cos θ = −12/13, and find the indicated value.   tan θ =

A: Given Sin θ = -513  and Cos θ = -1213We find tan θ .

Q: Evaluate each of the following without using a calculator. Decimal answers will no 3n sin¬1 (sin )=…

A: SOLUTION-

Q: Show that each of the following is true. sin (180 degree - theta ) = sin theta

A: Given: show that sin180∘-θ=sinθ For verifying given statement, we simplify left hand side

Q: 5. Is the equation cos 0 – sin 0 = 1 an identity? If so, verify it. If not, explain why.

A: We have to check

Q: Find the exact value of the following quantities without using a calculator. a) sin' b) cos cos

A: To find the value

Q: Show that each of the following is true. sin (90 degree + theta ) =cos theta

A: sin90+θ=cosθ

Q: 4 Determine the exact value of each of the following expressions. (a) sin(20)

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Q: Evaluate the following: 1. sin (20), if sin (0) =and <0 <

A: We have to find the given trigonometric function.

Q: Find the exact value of each of the remaining trigonometric functions of θ, given cos θ = 2/5, sin θ…

A: Given information: cosθ=25

Q: Find the exact value of each of the following. 2411 sin (i) sin 101 1924 Cos 83 (ii) cos (iii) cos…

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Q: Given that cos 0 = <0 <n, find the exact value of each of the following. 3 (a) sin (20) (b) cos (20)…

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Q: Find the exact value of the following under the given conditions:a. cos(α + β)   b. sin(α + β)   c.…

A: Given: sin α=45, α lies in quadrant I, and sin β=725, β lies in quadrant II.

Q: If sin 0 =, 0<0<5, find the exact value of each of the following. (a) sin (20) (b) cos (20) (c) sin…

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Q: Prove the identity sin30 cos 30 = 2 cos e sin 0

A: The given equation is sin3θsinθ-cos3θcosθ=2 the objective is to prove the identity. the formula for…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.