Verify the identity. (Simplify at each step.) tan? x = tans x sec² x – tan5 x tan? x = (tan5 x)( = (tan5 x)( tans x sec? x - tans x II

Q: 77. sin?(-0) + tan?(-8) + cos²(-0)

A: Here we express each term in sine and cosine then we simplify.

Q: Verify the identity. sin x + cos³ x =1 - sin x cos x sin x + cos x Factor the numerator, and use a…

A: According to the given information it is required to verify the identity:…

Q: The value of the expression cos" a – tan² æ - 8 + sin² x + sec² x is, O 16 tan a O -6 O 16 O 16 sec…

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Q: 1- tan? x Verify the identity = csc² xcos 2x tan? x

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Q: What is the exact value of tan 14T if it exists? A. 13. B. 13 3 G. P. Undefined

A: The given expression,        tan-14π3

Q: Tan (Cos (-)) Evaluate and give exact answer; 6

A: Given:Tancos-1-32

Q: 17) Establish the identity. 1 + tan?(-8) = sec? 0

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Q: Write the given expression in terms of x and y only. sin(tan-1 x – tan-1 y)

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Q: roblems 13. Two trigonometric identities are given by: 4 tanx-4 tan3 x 1-6 tan2x + tan“x (a) tan 4x…

A: Please refer the attached image for complete solution.

Q: -1 Rewrite tan sin as an algebraic expression in v. V9+1? - 1 sin tan 9 +

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Q: Prove the identity sin x cos²x+ sin?x algebraically and CSC X determine the non-permissible values…

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Q: Write an equivalent algebra expression that involved only x Sin(tan^-1x

A: Given that: sin(tan-1x)

Q: 16. Simplify the expression cos -1 sin' x-1 O sec? x tan2 tan? a tan? a O - sec a

A: 16. We need to simplify the following expression cos2x-1sin2x-1

Q: Establish the identity: tan(0 + ™) tan 0 TT

A:

Q: Simplify the expression tan2⁡x(csc2⁡x−1). 1 tan2⁡x cot2⁡x -1

A: We have to find the simplification

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)…

A:

Q: 20. Which expression is equal to + tan x using identities? tan x cos a 1 sin a cos x 1 sin x sin x…

A: According to the tangent identity, tan x=sin xcos x. So, substitute tan x=sin xcos x in the…

Q: Use identities to simplify the expression. 1 tan?a - 2 cos cos -a 1 tan a - %3D 2 Cos Fa II

A: We can simplify the expression as below.

Q: Simplify: (i) sin(cos-a) (ii) cos(tan-a) (iii) tan(sin-x) (iv) sec(sin-a)

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Q: 4.) Prove: sin 2x a) 2cos? x = tan x

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

A: Here we solve this by taking first the lcm

Q: Use the addition formula to derive the identities. (a) cos(x – ;) = sin x (b) sin(x – 5) COS x kIN…

A: Addition formula are as follows: sin(A + B) = sin A cos B + cos A sin B sin(A − B) = sin A cos B −…

Q: Verify the identity. (Simplify at each step.) (1 + sin ?)(1 − sin ?) = cos2 ? (1 + sin ?)(1 − sin…

A: Trigonometry Question

Q: 18. Which expression is equal to + tan x using identities? tan r 1 sin z cos x sin x cos x sin a Cos…

A: Which expression is equal to??

Q: Verify identity: tan2x(csc2x-1)=1 se how step by step worked out problem

A: Explanation of the answer is as follows

Q: The value of the expression cos² x – tan? x – 1+ sin² x + sec² x is O 2 tan r O -2 csc x O 2 O 1 O 2…

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Q: 1 cos 0 Prove the identity = tan 0. coc A 1tcin A

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Q: Use substitution to determine whether the given x-value is a solution of the equation. tan 4x = - 3,…

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Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that…

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Q: Fill in the blanks: 1. If tan x = 4 then tan( – x) = - 2. If sin x = 0.4 then sin( – x) = - 3. If…

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Q: Evaluate: (1 + tan2θ) / (1 + cot2θ) A.  tan2θ B.  cos2θ

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Q: 2 tan? x - 3 tan x = -1

A: It is given that, 2tan2x-3tanx=-1we have to find all the values of 'x'.

Q: Prove identity (1+ a) (1 – cos a) = tan? cos æ) sec x x cos x

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Q: 5. What is the exact value of tan 105°? O -24 V3 O-2-V3 O 2- V3 O 2+ V3

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Q: Complete the proof of the identity by choosing the Rule that justifies each step.…

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Q: Rewrite 1 sin(x) - 2 cos(x) as A sin(x + ¢) A= $ = Note: ø should be in the interval – n < ¢ < T

A: If asinx + bcosx has to be rewritten as Asin(x+ϕ) then A=a2+b2   and tanϕ=ba⇒ϕ=tan-1(ba)

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3…

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Q: Simplify the expression cos^2⁡x/1−cos^2⁡x A sin^2⁡x B cot^2⁡x C cos^2⁡x D tan^2⁡x

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Q: The value of the expression cos a tan x – 4 + sin x + sec? a is O 8 tanx O -8 csC x 8 sec x

A:

Q: 11. What is the exact value of tan (–105°)? O -2 + v3 O 2 - V3 )-2- V3 O 2+ V3

A: Given:        tan-105° Use the property:        tan-x=-tanx     Then,           tan-105°=-tan105°…

Q: . Complete the identity: sin2x + tan2x + cos²x =? A) cos3x B) sec?x C) tan2x D) sin x

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Q: 3) tan? 0 – sec? 0 4) 1- cos? 0 1.092 5) (1- cos 0)(1+ cos 0) 6) (secx- 1)(sec x + 1) 1 1 sin? e 7)…

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Q: Prove the given identity. tan x-cot a =– cos 2x cot x+tan a

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Q: Which of the following is a correct formula for sec(x)"? cos(x) sin°(x) All of the others are…

A: Consider the equation

Q: -1 Rewrite tan as an algebraic expression in v. 4 cos 1 tan cos 4 믐 ?

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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: 1- tan? x 6. cos 2x 1+ tan? x

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Q: Perform the addition and use the fundamental identities to simplify. There is more than one correct…

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Q: 4 and 90° <0<180°. 3 Suppose that tan 0=- Find the exact values of sin and tan 2 2

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Q: The question says to confirm that the equation is an identity:   (tanx + cotx)2=sec2X + csc2X   So…

A: Given,