Verify the identity. (Simplify at each step.) 5 cot x 5 tan x 5 cot x +5 tan x 5 tan xcot x 5 = ( tan(x) cot x 5 cot x5 tan x 5tan x + 5 cot x

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: Answer the question in the below image If cot-1 x 27 for some x 1x is 5. x ER, then the value of tan

A: Given: cot-1x=2π5 for some x∈ℝ

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A: Explanation of the answer is as follows

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

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Q: Verify the identity. 1+ tan? u 1- tan? cos? u - sin? u

A: Consider the given question 81+tan2u1-tan2u=8cos2u-sin2u

Q: sin? x – cos? x 1. tan x – cot x = sin x cos x

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

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Q: Prove the following identity: tan? x +1 = sec² x

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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

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

A: We have to find the simplification

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

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

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Q: 180 and 19 () If tan a 2 <a<T, then find sin an() - sin

A: Given : tan θ = - 180/19

Q: 1. cos (2x) 2sin(x) cos(x) tan(x) = cot (x) tan (2x)

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Q: (a) Prove that, if n > 1 is a natural number, then tan"-(r) tan"-2(r) dr. n-: tan" (r) dr n - 1 Use…

A: The solution is given below :

Q: 1- tan 0 2. tan (45° - 0) 1+ tan 0

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Q: Verify the identity. (tan x + cot x)ª = csc x sec x %! Use the Reciprocal and Pythagorean Identities…

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Q: Prove that the following identity is true. tan x sin? x + sin x cos x sin x - cos X cos x - 2 cos x…

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Q: 6. Use identities to show the following statements are true. sin x cos x tan x =1-cos?x a) b) ,sin x…

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Q: 4. Which expression is equal to 1+sin x using identities? Cos a sec x + tan x O csc x + tan x CSc x…

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

A: Given:  1+cos α1-cos α=sin2 α To Find: To verify the given identity.

Q: Prove the identity. 1 csc 2x 2 tanx (1 – sin?x) Note that each Statement must be ba the right of the…

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

A: tanx

Q: Simplify the expression cot^2⁡xcos^2⁡x/cot^2⁡x−cos^2⁡x  -1 2 1 -2

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Q: find all values of x, 0 &lt;= x &lt;=  2p, forwhich the following are true:   tan x is undefined

A: Given: y=tanx; 0≤x≤2π We know that tanx is undefined at x=nπ+π2; n∈I

Q: (a) If cos α = −√3/5 and α is in the third quadrant, find exact values for sin α and tan

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Use the fundamental identities to simplify the expression. se2x - tan x tan x tan? x 2 cot x O tan x…

A: We need to simplify the expression sec2xtan x-tan x. Now,…

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 æ = 4 then tan( – æ) = 2. If sin æ = 0.7 then sin( – æ) = 3. If cos a…

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Q: tan x + cot x = sec x CS z

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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: Establish the following identity: tan?x – sin?x = tan?x · sin?x

A: Explanation of the answer is as follows

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

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Q: 11. Rewrite tan?x 2cos'x using no powers greater than 1. Simplify your answer.

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Q: coscos A 2. sec sec A- 1+sinsin A =tan tan A roof:

A: Here we have to prove that, sec A-cosA1+sinA=tanA  ........................ (1)  Taking LHS…

Q: tan'x secx secx-1

A: we know that  1+tan^2x= sec^2x

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: Use identities to simplify the expression completely. cot x sec x sin x O sec'x 0 1 O None of these…

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Q: Use the fundamental identities and appropriate algebraic operations to simplify the expression. 1 1…

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Q: Verify the identity. tan tsec t = sect-1 sin t

A: Given problem:-

Q: 1. Which expression is equal to tana + rec r cot a using identities? sec r tan x – cot x tan x + cot…

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Q: prove the following identities 1. (sect − sin(π/2 − t))(sec(π/2 − t)−sint) = tant − tantsin2 t…

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Q: Verify the identity. (cot x + tan x)4 = csc* x sect x Use the Reciprocal and Pythagorean Identities…

A: The given identity to be verified is cot x+tan x4=cosec4xsec4x The reciprocals and Pythagorean…

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: Find the value of the following tan ( ½  – 2j )

A: The formula for is defined as follows.

Q: A. Prove the following identities. Write your answer on a yellow pad paper. 1-tan A 1. 1-cot2 A…

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Q: Prove that the following identity is true. tan x sin? x + sin x cos X sin x - cos x COS X cos x - 2…

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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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