X - Find an algebraic expression for : sin(tan-1x– cos-1)

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x = sin…

A: We plug x=π/3.

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos 2x/3 =…

A:

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

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Q: Use substitution to determine whether the given x-value is a solution of the equation.

A: Given- cosx=sin2x, x=π3 To find- whether the given x value is a solution of equation or not. Concept…

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

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

A: The given integral,         ∫10xcos 10xdx

Q: Evaluate f(x)= sin(x²), and tell whether its antiderivative F is increasing or decreasing at the…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: 4∫sinx cosx dx=-cos2x+C To Determine: Whether the statement is true or false. If it is false,…

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

A: Simplification

Q: -<x<0. Given that tan 2r =-2, solve for tan x. 4 Let -

A: Given: tan2x=-2 We know that tan2x= 2tanx1-tan2x Therefore, 2tanx1-tan2x = -2

Q: I need help with this question. Thank you.

A: Consider the given function

Q: Evaluate sin r e de. cos

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Q: solve the equation for all values of x: tan-1(tan x)=pi/3

A: Solve the equation for all values of x.tan–1 (tan x) = π / 3.                 x = π / 3…

Q: Rewrite the expression as an algebraic function of x and y. sin(cos-1(x) – tan-1(y))

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Q: csc? a + sec? æ 1 cos x sin z

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Q: Rewrite  − 6 sin ( x ) − 3 cos ( x ) as  A sin ( x + ϕ ) A= ϕ=

A: see below the answer and calculation

Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

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Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x = -1/2,…

A: Given: cosx=-12, x=4π3 for verifying result, we putting x=4π3 in given expression

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: 10* -dx may be written as AlnlsecR+ tan Rx C where A, B, and C are constants not equal to zero.…

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Q: B- find the value of x x = tan(sin-1–) 2.

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Q: Use substitution to determine whether the given x-value is a solution of the equation. coS X= sin…

A: Given equation:cosx=sin(4x)and given x=π3Now we substitute given x value in cos x and…

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

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

A: Solved below

Q: (E- x) = ", find tan (x). TC 10 11

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Q: sec? e OP- Find Jo tan? 0+1

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Q: cos + tan-'x = ! ele %3D

A: Given  The equation is cos-1x2+tan-1x=π2

Q: Let sin t=a, cost3b, and tan t= c. Write the expression in terms of a, b, and c. cost+ cos…

A: To solve the expression

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x = √2/2,…

A: To determine whether the given x value is a solution of the equation.

Q: )-tan (-V3) 4. Find the exact value of expression sin cos -1 /2 2

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Q: B- find the value of x x = tan(sin-1) 2

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: ∫-11x21-x2dx

Q: Evaluate sin2(x) cos*(x) xdx A. 32 32 C. в. D. - 32 O D

A: We have to find solution of given integration of trigonometric term having even power on sine and…

Q: Express the function below as a sum or difference of sine and cosine.    sin 4x cos 3x

A: Given: y=sin4xcos3x We know that 2sinAcosB=sinA+B+sinA-B                                         ..1

Q: Vx²- Use the Pythagorean Theorem to evaluate cos ( tan-1 =)). Simplify your answer as much as you…

A: Given,            costan-1x2-c2c

Q: 3x 1. Determine the exact value of sin(a - b), if cosa = where ≤ ≤ 2 and cos b where ≤ b ≤n. 13

A: We will use simple trigonometric identities to solve this question.

Q: Let f(æ) = (7 sin a + 4 cos a)tan-e f'(x) -

A: We can find the derivative using product rule as below.

Q: 3. tan-'(x +) 2 4

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Q: V. Rewrite the expression as an algebraic expression of x. a) sin(cos-1 r) b) sin(tan-' x)

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Q: Evaluate and show your work a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6…

A: To Evaluate: a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6 c. Tan-1(-√3)

Q: Use the trigonometric substitution to write the algebraic expression as a trigonometric function of…

A: Solve the following

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

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Q: dx sinx + tanx Answer: In |tan - tan? + C 1 1 2 X Answer: - In tan 2 4 2

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Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

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

A: Given: I=∫10xcos10xdx   We know that; ∫secxdx=lntanx+secx+C   So, we can also write as;…

Q: Fill in the blank/s: tan2 y =  ______ /(1 + cos 2y)

A: Given, tan2y

Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

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Q: is f(x) = cos(wt) odd, even, or neither? show graph and solution

A: Let us consider a function y=f(x) then, The function is said to be even function if f(x)=f(-x). The…