cos(T+ tan 1 /2x)

Q: Simplify the following expression to a single trig function: cos(5æ) cos(2a) + sin(5æ) sin(2æ).

A: Given : cos5xcos2x+sin5xsin2x

Q: Simplify the expressions below. (a) tan(cos-1 x) (b) sin(tan1 x)

A: Refer to the question.Let a = cos^(-1) x.  That is from the properties of inverse trigonometric,

Q: Simplify the following expressions: cos 20 a. sin 8+cos 0 tan 2x b. tan x C. sin 2x tan-

A: a) The given expression is, cos 2θsinθ+cosθ. Simplify the expression as shown below. cos…

Q: Evaluate and simplify. cos (9 sec x) dx

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Q: Find the exact value of the expression. 2 tan cos 2

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Q: 1. Explain the steps in verifying that the following equation is an identity. cos x sec x + tan x =…

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Q: 6. Explain the steps in verifying that the following equation is an identity. sec x sin x = cot x…

A: We have given equation  Taking left side of equation  LHS = secxsinx-sinxcosx           =…

Q: Find the exact value of the expression. 1 COS 11a sin

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Q: Find the exact value of the given expression. cos(2 tan"())

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Q: Simplify  1/cos a 1/sin b

A: we know that  1cosθ=secθ1sinθ=cosecθ

Q: Calculate the following. a. sin cos" (-) c. tan-(1)

A: To calculate the following trigonometric values of the functions.

Q: Simplify. (a) (b) cos sin 8

A: we have to simplify: (a) 1a1b=1a×b=bathis is the required answer.

Q: Simplify the expression V4 x2 as much as possible after substituting 2 sin(0) for x. (Assume 0° < 0…

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Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-22 -π2≤x≤π2 sin x=-22 multiply and divide by 12 sin x =12  sin x = π4 sin-1-22=π4

Q: Given the expression below, determine tan (0/2). sin 0 - x². 1+cos 0

A: We have to find the value of tanθ2 by the given expression sinθ1+cosθ=x2 first using the formula of…

Q: Find a simplified expression for tan( cos-1 ((a)/(6)))

A: Given: y=tancos-1a6 we know that cos-1x=tan-11-x2x                                similarly,…

Q: Evaluate the expression without using a calculator. sin " + cos 4 4

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Q: What is the real number equivalent for sin ( Cos ^ -1 ( 1/2)) ?

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Q: Find the exact value of the given expression. tan cos-) 0.2425

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Q: Find the value of -1 tan cos + tan

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Q: simplify the given expression  sin(2x)cos(6x)-sin(6x)cos(2x)

A: Explanation is given below...

Q: Find the exact value of the given expression. 0(2 tan-¬() COS

A: cos2tan-143 Now let tan-143=θ⇒tanθ=43⇒sec2θ-1=43    ∵sec2x-tan2x=1⇒sec2θ-1=169      Squaring on both…

Q: b. 3 tan e sin e-2 tan e 0

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Q: The Equivalent expression of (cos 3A) / (sin A cos A) is ?

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Q: Find the exact value of the expression. tan n sin COS

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Q: Simplify the expressions below. (a) tan(cos−1 x)     (b) sin(tan−1 x)

A: (a)

Q: Simplify the lefthandside so that LHS = RHS: 1+ cos(a) cos(a) 1 tan(a) sin(a) 1 1+ cos(a) 1- cos(a)

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Q: Simplify the lefthandside so that LHS = RHS: sin(a) 1+ cos(a) 1- cos(a) sin(a) 2 tan(a) 2 tan(a) ||

A: Here is the solution:

Q: Cos X in Sevies form

A: In this question, the concept of series is applied. Series A series is created by a sequence, which…

Q: 10* -dx may be written as Aln secB* + tanB*| + C, where A, B, and C are constants not equal to zero.…

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Q: Simplify the expression. cos(2 tan-1(x))

A: For the solution follow the next step.

Q: Simplify the following expressions: cos 20 tan 2x b. tan x a. sin 0+cos 0 C. sin 2x tan

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Q: Write the following in terms of sin 0 and cos 0 and then simplify if possible. sec 0 tan e

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Q: As h approaches 0, what value is approached by cos(7 + h) + 1 . h [Hint: cos = -1]

A: Compute the limit as follows. limh→0 cosπ+h+1h=cosπ+0+10=-1+10=00     (I.F)

Q: fo= tan(sin 3x) (x)

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Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

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Q: 5. cos? x (tan? x + 1

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Q: Simplify the expression vx+S1 as much as possible after substituting 9 tan 6 for x. 9 cos e | 9 csc…

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Q: Verify that the equation is an identity. 2 tan 1+ cos x

A: we know thatcosx=2cos2x2-1consider…

Q: Find the exact value. a. cos, 2.

A: a. Obtain the value of cos3π2, cos3π2=cos2π-π2=cosπ2=0   Thus, the exact value of cos3π2 is 0.

Q: Simplify the expression. cos (sin−1(9x)) = tan(cos−1((1-(x)/(64))1/2) =

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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 exact value of the given expression. cos 2 tan

A: We have to find the exact value of the expression: cos2tan-1125 We know that cos2θ=1-tan2θ1+tan2θ…

Q: Rewrite cos (a + ) in terms of sin(x) and cos(x).

A:

Q: The expression 4tan(x)sin(x)+2sec(x) simplifies to A sec(x) − B cos(x), determine A and B. A= B=

A: The given expression: 4tan(x)sin(x)+2sec(x)

Q: V3 Give the exact value of tan ( cos 2

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Q: 3. 4 sin °x cos <x dx

A: Topic-integration

Q: 1+cos 0 V1- cos 0

A:

Q: COS Coso xdxx

A: ∫cos6x dxApplying reduction formula with n=6 := cos5x sinx6 + 56∫cos4x dxApplying reduction formula…