sec4 x 21) tan3/2 x A) _ -1 + C tan1/2 x B) - 14 tan- 1/2 x sec4 x + 7 tan-3/2 x sec5 x+ C C)? tan- 7 tan1/2 x + C - 3/2 X + 3 - 14 D). 1/2 x 14 tan3/2 x+ C 3 tan

Q: (A) Verify the identity (i) (1 + tan² x)(1 - sin2x) = 1 sec x - 1 %3D tan x (ii) tan x sec x + 1 1+…

A: We have to prove the identities.

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: Verify the identity. sec5 x tanó x = (tanx + tan8 x)sec3 x (tan x + tan° x)sec3 x (| tanºx - tan²…

A:

Q: tan x csc² x-tan x sin x tan +cos x cos² cos? x csc x Prove Show all work to receive credit

A: Apply the basic trigonometric formulas and simplify the terms.

Q: 3 tan 4 3 - 3 tan(0) 1 + tan(0) %3D - 3 tan(0) 3 tan - 0) = tan(A)

A:

Q: One, Two, Three (a) Show that tan(tan-1 1 + tan-1 2 + tan-1 3) = 0. (b) Conclude from part (a) that…

A: a). tantan-11+tan-12+tan-13=tantan-11+21-1·2+tan-13…

Q: 5. (tan x)(1 – cotx) = tan x – 1

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

Q: •sin ² (x/2) = = (tan x sin x)/ 2tan x = sin ² (x/2) •tan x - cot x = - 2cot 2x •sin ² (x/2) = (sin…

A: 3) sin2x2=sinx tanx22=sin2x2 4) sin2x=2cos2(x/2)1-cosx=sin2x 5) 2sinx-sin2x/(2sinx+sin2x)=tan2x/2

Q: cotA+tanA Prove that sec2A. cotA - tanA

A:

Q: True or False tan(2θ) + tan(2θ) = tan(4θ)

A: Given trigonometric expression is, tan2θ+tan2θ=tan4θ.   The given statement is False.   By apply the…

Q: sec 0 +1 – tan 0 , tan 0+ sec0 –-1 Prove : = 2 sec 0 sec 0 +1 + tan 0 tan 0 – sec0 +1

A:

Q: establish each identity.

A: Given, To establish each identity, cotθ1-tanθ+tanθ1-cotθ=1+tanθ+cotθ

Q: 2 1. sin 0 == and sec 0 > 0 2. sece = - and tan 0 > 0 3

A:

Q: 1+ sin x 1- sin x 21. 1- sin x 4 tan x secx 1+ sin x sin (x + y) sin (x - y) tan x + tan y 22. %3D…

A:

Q: establish each identity.

A: To prove: tanθ+secθ-1tanθ-secθ+1=tanθ+secθ

Q: 9. Establish the identity 1- sec 0 tan 0 2 cot 0 tan 0 1- sec 0

A:

Q: 21.8 sin (ß- 1.31)-50 +75.3e-B/3.77 = 0 using root-finding software.

A: Using root finding software

Q: Establish each identity.

A:

Q: Integrate [ tan² 0 1 5 tan² (x) sec¹(x) dx. tan³(x) — tan(x) + C 3 O 1 5 1 -tan³(x) + = - tan³(x) +…

A: We have to choose correct option

Q: 1 1 Prove -2 secx tan x 1+ sin x 1- sin x

A:

Q: How Prove that? 2tanX tan 2x 2 1- tan x

A:

Q: 3 tan 0 tan' 0 Show that tan 30 = 1-3 tan? 0

A:

Q: 6. 1) cos sin 7 -1 2V5 3) csc cos -1 5) csc sin- 7) sec tan-1 V3 4/5

A: Answer of 1: Here the angle of cosine function is an inverse sine function.

Q: 1. tan' 4.cos' A + sin' tan 2. sin' A1 + + + cos' 4(1 +tan' 4)-2 tan 3. (cos x+sin x(cos x-sin x)- 2…

A: Using,  Tanx = sinx/ cosx  Sin2x + cos2x = 1

Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

A:

Q: 2 sin 0+sin 8-1 1+csc 0 2 tan 6 sin 0-tan 0 sec 8

A: Trigonometry

Q: A) How does 1/2[(1-cosx)/(sinx)+(sinx)/(1-cosx)] equal on of these: secx, cosx, sinx, tanx, cotx,…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 6(cos² x – 1) sin a cos z – sin z O 6 cot x + 6 sec x O 6 tanz + 6 csc x O 6 sin z + 6 cos a O 6 tan…

A:

Q: tan(x) - cot(x) = sec(x)(2 sin(x) – csc(x)) %3D tan(x) – cot(x) sin(x) cos(x) %3D cos(x) sin(x)…

A: We can use the trigonometric identities, sin2x=1-cos2x,  cos2x=1-sin2x tan x=sin xcos x, cot x=cos…

Q: tan x- 1 1. tan (x - 45°) = tan x + 1 1- tan 0 2. tan (45° - 0) = 1+ tan 0

A: Basic trignometry problem

Q: 7) 2tan² 0 = 1 + 2tan 0 + 3tan² 0 8) 1= tan² 0 + sec 0

A:

Q: Q3. Prove that tanhz =: 1-22

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Verify the identity. 2 tan(x) 1 + tan2(x) 2 tan(x) sec2(x) sin(2x) 2 tan(x) 1 + tan?(x) 2 sin(x) .…

A: The prove that  (2tanx)/(1+ tan2x) = sin2x

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: How do I prove that (cosecA-cotA)2 =(1-cosA)/(1+cosA)

A:

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: solve using L'Hopital's Rule 7. Lim    1/(tan-1)2  -  1/x2    x->0

A: Given the limit as : limx→0 1tan-12-1x2 We need to find the limit by using L' Hopital's Rule. Let's…

Q: 2 tana-2 tan b = 2 tan x -1 tan a- tan b = tan¬1 x %3D a-b - a-bten- 1+ab tan = tan a-b X =- 1+ ab…

A:

Q: tan^7(x)sec^2(x)-tan^7(x)   7tan^7(x) 9tan^9(x) tan^9(x) tan^2(x) tan^7(x)

A:

Q: sec 0 = cos 0; csc 0 = sin 0 csc 0 = cos 0; sec 0 = sin 0 sec 0 1 ; CSc 0 1 sin 0 cos 0 1 O csc 0…

A: To find which of the given sentences is correct

Q: tan x sec xdx = (sec x) * - (sec 2)* +c 10 음(tan x) 을(tan z), +c 10 None (tanx) + (tan x) +c 금 (sec…

A: Given:⇒∫sec4x*tan(x)3dxWe know that sec2x=tan2x+1⇒∫sec2x(tan73x+tan(x)3 dxSubstitute u=tan(x) →…

Q: sec2 (0) S tan (0)-484

A: To find out the integration.

Q: Prove. 1+tan (x)tan (x/2)=sec (x)

A: To prove the following trigonometric identity Formula used:- sin2x+cos2x=1 cos2x-sin2x=cos(2x)

Q: [((1-tan^2(x))/sec^2(x)]= cos(2x)

A: To prove that  [((1-tan^2(x))/sec^2(x)]= cos(2x)

Q: Prove that: sec (0) +tan (0) cot (0)-cos (0) -=sec (0) tan (0)

A:

Q: tan + tan 15 10 5. Find the exact value of 1- tan tan 10 15 1 А. /3 С. 1 B. V3 D. undefined

A: Let x be an angle in a right-angled triangle and a and b be the measure of sides opposite and…

Q: 5) -3tan 0-3sin 0 -2V3 tan Osin 0-3sin 0 %3!

A:

Q: 18) tan- V3 V3 20) tan 3.

A: Given:- 18 tan-1(√3) 20.  tan-1(-√3/3)

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…

A: