1-22 - Proving Identities Verify the identity. 1. sin 0 (cot 0 + tan 0) = sec 0 2. (sec 0 - 1)(sec 0 + 1) = tan²0 3. cos?x csc x - csc x = -sin x = 1 + tanx sinx 4. cosx - tanx 5. = cot'x - sec'x sin'x sin'x 1+ sec x 6. sec x 1- cos x

Q: b. cos ( I1/2 -x) c. cos(x+ II/2) d. tan(x+ II/2) e. tan( II/2 -x) a. sin ( I1/2 -x) 16. sin x 15.…

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Q: cos x- senx = cos4 x - sen x tan e tan a-1 tan a-coto (sec x + 1)(sec x-1) = tan?x

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Q: tan 5. CoS sin 12

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Q: 11 csc2 (-0) tan 0 cot(-0) Establish the identity: - sec2 e

A: Given,

Q: cos x-2 cos 3x + cos 5x b. cos x +2 cos 3x + cos 5x :-tan x. %3D

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Q: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

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Q: 1- sec 0 9. I. cos 0 -1 tan 0 sin 0 cos 0 + sin 0 II. sec 0 + csc 0 = cos 0 sin 0

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Q: cos²x 6. 1+ sin x = 1- sinx tanx - сotx 7. sec'x - csc?x = sin xcosx 8.1 tin cos2x = cscx - secx…

A: We have to verify that the given trigonometric identity.

Q: 1) tane = 2.6 2) cos0 = -0.65 3) csc(-0) = - 2 tan(-0) = cos(-0) = csce = 6. 4) sec(-0) = 3 &…

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Q: 1) sin 0 + cos 0 = sin 0 cos 0 %3D 1-cot 0 tan 0-1

A: To prove sinθ+cosθ=sinθ1-cotθ-costanθ-1

Q: 1. Verify the identity. Show all steps. sin x tan² x-sin x = tan x (tan x – 1) cos x sin x+cos x

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

Q: sin^4x - cos^4x/sin^2x - cosx =1. prove the identity.

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Q: 1-cos(2x) sin²(3x) tan x-sin x Evaluate: a- limr-0* b- lim sin³x

A: (a) Given, Simply fie the above expression, On applying the limit, the solution is in 0/0 format.…

Q: sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

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Q: sin 2 x + sin x + cos 2 x - 1 = _______ tan x cot x sin x cos x

A: We can solve it as below.

Q: cot(-0)+tan(0-) TT = 1 – 2sin² (0) tan(-0)+cot(-0) |

A: The given statement is: cotπ2-θ+tanθ-π2tan(-θ)+cot(-θ)=1-2sin2θ

Q: 16. cos(x)sec(-x) 17. sin(x)csc(-x) 18. tan(-x)cot(-x) 19. cot(x)cot(x)

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Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: 1- cos () 1- cos(x) 1- sin°(;) 1+ cos(x)

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Q: tan6(x) cos4(x) sin²(x)sec³(x) [7sin²(x) + 9cos²(x)] + C A 63 tan²(x) [7tan²(x) +9] + C B 36 Ⓒ…

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Q: cos(-x) 1– sin(-x) 4 x It sin x COS x 4 8 csc x 8 sec x -8 csc x -8 sec x

A: Use trignometric ratio and identities:-

Q: 1-cosx sinx B: Prove sinx 1+cosx 1-cosx C: Prove tan? 2 2 1+cosx

A: As per our guidelines we are supposed to answer only one or two question. Kindly repost other…

Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: Verify the identity. sin x- sin y x-y x+y cot = tan sin x+ sin y 2 2 Start with the numerator of the…

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Q: 3x2 sin(x³) Select one: а. In/tan x3 + cot x³| + c b. -In csc x3 + cot x³| +c С. с. In|sec x3 +tan…

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Q: 9(cos x – 1) sin z cos a – sin a O 9 tan + 9 seca O 9 cotx + 9 csc x O 9 tan + 9 csc z O 9 sin x + 9…

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Q: 1+ cos x 2. 1 - cos x (csc x+ cot x)2

A: L.H.S :    1+cos x1-cos x               =(1+cos x)(1+cos x)(1-cos x)(1+cos x)               =(1+cos…

Q: √3 csc x − 2 = 0  tan 3x(tan x − 1)  sin2 x = 3 cos2 x

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Q: 2 sec² x – 2 tan² x = sin 2x sec x b) sin (- x) cot ( + x) = – sin x a) CSC X

A: We will use  secx=1cosx,tanx=sinxcosx and  sin(π2-x)=cosx,cot(π2+x)=-tanx

Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) =…

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx…

Q: Find a formula for cos(tan^−1(7z)) assuming that z < 0. Show all the work.

A: cos(tan-1(7z))

Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

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Q: sin (-8-2T) Sec co) arc tan (x) TT cos' (Gw) Sin' GW) dw CoS tant (2) sec (2)dz

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Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: 1 1 -2 cot x csc x x %3D 1+cos x 1-cos(-x)

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Q: sin 0-2 sin3 0 1. 2 cos30-cose = tan O 1 2. tan? x(1+ coť x) 1-sin2x 1 3. sec ( 2 cos'x) = 2x2-1

A: we have to prove

Q: Prove the identity. sin(x-즉)--cos(x) Use the Subtraction Formula for Sine, and then simplify. sin(x…

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Q: (1-cos(x))= (2-2sin^2(x)) from (-pi, pi)

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Q: tan 0+sec 0-1 %3D 1+sin 0 8. tan 0-sec 0+1 cos 0 Proof:

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Q: 4. (tanx)(1 - cot x) = tan x - 1

A: Given  (tanx)(1-cotx)=tanx-1 Let's verify the identity as shown below

Q: Verify the identity algebraically. 3 cos(x) 1 - tan(x) 3 cos(x) - 3 cos(x) - 3 cos(x) 1 - tan(x) = =…

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Q: Error Analysis In Exercises 43 and 44, describe theerror(s).

A: Given:43. 1tanx + cot-x44. 1+sec-θsin-θ + tan-θ

Q: Find exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: 1- sin(-x) 11. cos x+ cos(-x)sin = sec x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Prove the identity. tan(x - ) - sin(x -) -cot(x) %3D tan(x -) - sin(x) cos - cos(x) sin() + sin(x)…

A: We have to solve

Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove

Q: 1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

A: Square on both sides of the given relation We get

Q: 1-tan x 1+ tan x sec x-CsC X a. sin x + cos x sin x COS X b. sin x +cosX sin x + cos X C. sin x- cos…

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