The Equivalent expression of cos 3A sin A cos A is Select one: csc A – 2 sin A + 2 sin? A CSc A csc A – 4 sin A

Q: Simplify the expression: cos(0+ T) Select your answer from the following options: O sin 0 COS cos 0…

A: we have to simplify the following expression - cos (θ + π) We will use the following formula to…

Q: Find the identical expression for the following sin A-8. Sin A-2

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Q: Evaluate: [6 cos(6)a – 6 csc² (x)] dæ -

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Q: Find the exact value of the expression cos (2π/3 - π/6).

A: We will use the cos(A-B)=cosAcosB+sinAsinB formula with A=2π/3 and B=π/6

Q: Use the given conditions to find the exact value of the expression. 24 COs a = 25 sin a < 0, cos a…

A: The given trigonometric expression is cosα+5π6. The conditions given are cosα=2425 and sinα&lt;0.…

Q: 11. Determine the correct simplification of the expression (1+ cos a)(1 - cos a). a. 1- sin a b.…

A: To simplify :  (1-cosα)(1+cosα)

Q: What is the exact value of the expression sec60° + csc30° ? 3√2 A. B. C. 1 D. 4 Find the exact value…

A: We determine the exact value of the given expression

Q: If cos(a) = 2/3 , sin(b) = -3/5, P(a) in Q1, P(b) in Q3,  find sin b/2

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Q: Find the exact value of the expression: cos 7.5° cos 37.5°

A: Consider the expression

Q: Which expression is equivalent to sin(2r)cosr? O A. cos(3r) + cos O B. (cos - cos(3x) COS3 Oc…

A: we will following trigonometric identities  sin(A+B) = sin(A) cos(B)+cos (A) sin(B) sin(A-B) =…

Q: (c) Under the assumption that x = ´cos 0 2 sin 0, use an appropriate right triangle to cos³ 0…

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Q: "III. Find the value of the expression. 12.) csc 300• cos 60 sec 150° · sin 120°

A: SOLUTION-

Q: If cos A= 21/3 and A is between 90° and 180°, find   cos A/2

A: Given cos A = 21/3    A is between 90° and 180°.   We know cos θ ∈ [-1, 1]

Q: The expression 5 tan(x) sin(x) + 4 sec(x) simplifies to A sec(x) – B cos(x). Determine the values of…

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Q: Find the exact value of the following.                                                       a.…

A: The solution for the above question is as shown below.

Q: Determine the correct simplification of the expression (1+cos a)(1- cos a). 1-sin' a b. cos a a.…

A: We can solve both the question using the properties of trigonometry as below (1+cosα)(1-cosα)

Q: Find the exact value of the expression. 5x sin COS COs sin 12 12 12 12 兀 sin 12 COS 12 sin Cos 12 12

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Q: Which expression is equivalent to Cos(4x) + cos(2r)? O A. 2cos(3r)cos Ов. -2sin(3r)sinr C.…

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Q: The formula for cos(a- B) is sin a sin B- cos a cos B cos a cos B + sin a sin B cos a cos B - sin a…

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Q: Find A and B if: 10 cos(4 pi t) -FT-A 8 (f-B) +A 8 (f+B) Select one: a. 10,4 O b. 10, 2

A: Given,    10 cos(4πt)←FT→Aδ(f-B)+Aδ(f+B)               (1)

Q: The value of Cos 1+Cos 2+……+ Cos 179= A) 0 B) 1 C) -1 D) 89

A: Cos 1+Cos 2+……+ Cos 179we know that cos180-θ=-cosθ⇒cos1+cos2+cos3+····+cos179

Q: 2) If Sin A= 3/5 Then Find the value of Cos 2A O 24/25 O ((24)/25 7/25 O (-7)/25

A: Given: sinA=35cos2A=?

Q: (b) 7 sin 0 + cos 0+cos´0 Example 32 12 sin 0 – 8 cos²0 -

A: secθ=1-tan2θ cos x = 1/ sec x   sin x = 1-cos2x

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a (1 + cos a)(1 – cos a)…

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Q: Find the value of R in the following expression: a. cos(0) + b. sin(0) = R cos(0+ a) for a=3.7…

A: Given: acosθ +bsinθ= Rcosθ+α Divide and multiply left hand side by a2+b2 a2+b2aa2+b2cosθ…

Q: Find the exact value of the expression. 3 sin | 2 cos 24 OA. 25 24 OB. 25 12 OC. 25 12 O D. 25

A: The given expression is : sin2 cos-1-35 To find the exact value of the expression.

Q: Evaluate: | [6 cos(6)a – 6 csc² (x) ] dæ -

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the exact value of the following expression. cos - 1(0) COS

A: Find the exact value of cos-1(0).

Q: cos 52.5° cos 7.5° %3D II

A: We know that cosAcosB=12cosA+B+cosA-B

Q: Given cos (25°) - sin?(25°) = cos(A°) and cos (2x) – sin²(2x) = cos(B), determine the values of A…

A: We can find the value of A and B as below.

Q: What expression is equal to the given expression below? 1-cos 8x 1+cos 4x A. 2 sin 2x B. tan 2x

A: Given: y=1-cos8x1+cos4x We know that 1-cos2θ=2sin2θ…

Q: 5. cos 20 = cos²0 – ! 2

A:

Q: Find the exact value of the given expression. cos(2tan^-1(24/7))

A:

Q: Use an addition or subtraction formula to find the exact value of…

A: Given:

Q: Find the Exact Value of the Expression   sec[cos-1 (√3/2)]=

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Q: Convert the expression. 1+cos 4y

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Q: The term cos(2a) can also be written as ... O 2 cos? a – 1 2 sin a – 1 O2 sin a cos a sin? a + cos?a

A: Let, cos2α=cosα+α Since, cosA+B=cosAcosB-sinAsinB

Q: (a) 10 cos 100t + 3

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Q: 11) cos? 0 = 2+ 2sin 0

A: Given query is to find the value of angle theta.

Q: 5T Evaluate the expression sin Cos 3.

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Q: Find the product of: (a) 6(cos=+i sin) and 2 (cos+i sin) 3

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Q: a) Simplify cos "+ sin (3x) in terms of x . 2 [Hint: cos(A B)= cos Acos B sin A sin B1

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find: cos(a) = 90° <a < 180°, A. cos(2a) = %3D 8. tan(2a) =

A: Cosine is negative in the second and third quadrant and positive otherwise. Tangent function is…

Q: Find the value of the product. 7 cos(52.5°) cos(7.5°)

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Q: Find the equivalent expression. (cosß – 1)(cosß + 1)

A: The given expression is:  cosβ-1cosβ-1 To find its equivalent expression, first, multiply by using…

Q: (2) From the figure below find (a) sin (60), (b) cos (60), (c) sin (30), (d) cos (30), (e) |AD…

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Q: find the exact value of the given expression cos(7pi/12)cos(pi/6)-sin(7pi/12)sin(pi/6)

A:

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.