+0) sin 30 = sin + 0 - (un| |(cos 0) + (cos 20)(sin 0) sin - (2 sin e- (cos 0) + (1 – 2 sin? 0)(sin 0) = 2 sin 0 · + sin 0 – 2 sin3 0 = (2 sin 0)(1. + sin 0 – 2 sin3 0 = 2 sin 0 – + sin 0 – 2 sin3 0 = 3 sin 0 – 4 sin3 0

Q: 1) sin 9) tan-1 (-V3) 11) sin- 2

A: Given! 7)sin-1(-1/2) 9) tan-1(-√3) 11) sin-1(-√2/2). Repost the next parts.

Q: А. у%3D —3 sin (2х — 3) + 1 (2x G. у %3D2 csc(x — п) Н. у %3D csc х + 3 В. у %3D2 sin (x +-) — 4 C.…

A:

Q: Establish each identity.

A:

Q: Number 33

A: Given,

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

A:

Q: cos (x sin )=√₁ (x)+2 J₂ (x) cos 26+2 J₁ (x) cos 44+... sin (x sin )=2 J₁ (x) sin +2 J, (x) sin 36 3…

A: Using generating function of Bessel functions

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: 1 1+ sin 0 2 1- sin 0 ¯ cos² 0' Prove that 7 sin 0 + 5 cos 0 cos 0 sin 0 7 sec 0 + 5 csc 0. Prove…

A:

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

A:

Q: 3(cos a- 1) sin x cos – sin x O 3 cotx+3 csc x O 3 tanx+3 csc x O 3 tan x +3 sec x O 3 cot x +3 sec…

A: Here we have to find the value of    3(cos2x -1)/(sin x cos x - sin x)

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

A:

Q: Establish the identity 2 O A. cos2 0- sin ²0 1- cot² 0 О в. cos² 0-sin 20 1 - cot² 0 O C. cos ²0-sin…

A: We know, cot θ=cos θsin θ

Q: sin(70) +.. 8. sin(50) sin(8) + sin(30) 2 is equal to 6 sin(6) 5-4 cos(20) cos(0) 1- cos(20) None of…

A:

Q: establish each identity

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1 cos²0 1 sin 9 1 tan 8 + tan 8 + || || Trigono 1 sin² 0 cos²0 1 sin cos 0

A:

Q: cos 0 sin 0 0 - sin 0 cos 0 0 1

A: Here we get one real and two complex eigenvalues. We calculate eigen vector only for real…

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 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1 2- Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: Evaluate the following 1-prove sin 2x+cos 2x+1/sin 2x-cos 2x+1=cot x 2-sinh(u-v) = sinh u.cosh v-…

Q: sin 5x + sin 3x 2 cOS X 4 sin x cos 4 sin x cos x 3 X COS -

A:

Q: 1. حل المعادلة 0 sin 30 = sin لجميع قیم 0 x2 -2 lim 2. أوجد النهاية أن امكن 2- "ر

A:

Q: Establish each identity.

A:

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: Establish each identity given in attachment.

A: Given equation: sinθ-cosθ+1sinθ+cosθ-1=sinθ+1cosθ

Q: In Problems 7–16, use a table to find the indicated limit

A: The given expression is limx→24x3

Q: 1- cos X 1+ cos X Express each fraction over the lowest common denominator. 1- cos 2 1- cos 2 x - 2…

A:

Q: sin 0 1 + cos 0 Establish the identity: 2 csc 0 1 + cos 0 sin 0

A: given sinθ1+cosθ+1+cosθsinθ=2cosecθ

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

A:

Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: 2 1-tan ² x 2 1+ tan² x 2 = cos²x - sin² x

A:

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…

A:

Q: Show me how I can calculate this number easy way Solution ) x(n)= sin(30rnt,) - 2 cos(50rnt,)…

A:

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: V1+ cos x + v1- cos x X =-+-,0<x<. 4 2 an 1+ cos x - V1- cos x - cOS X VI

A:

Q: 6. h(x) = 5x sin-1x 7. h(x) = tan x – tan-i x 8. h(x) = 3 sec-x 9. h(x) = 14 cot"x+ 12 cos-x 10.…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

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

A:

Q: e points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

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: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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

A:

Q: sin2 x cos2 4. sin x- cos4 x X - - 1 4

A: To prove that the left-hand side is equals to the right-hand side.

Q: 6 x° cos(x) dx =. 6 x³ sin(x) + 18 x² cos(x) – 36 x sin(x) + 36 6 x³ sin(x) – 18 x² cos(x) – 36 x…

A: Integration by parts  ∫udv=uv-∫v.du

Q: cos 0 - sin 0 tan (-0) = %3D 4 cos 0 + sin 0

A: tan(π4-θ)=cos(θ)-sin(θ)cos(θ)+sin(θ) LHS tan(π4-θ)=tan(π4)-tan(θ)1+tan(π4)tan(θ) [Because Angle…

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: 3) Find the expention of sin³ 0 4) Proof that: cosh iz = cos z 5) Prove that: cosh² z - sinh²z = 1…

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Q: cos 0-2 cos 0 sin0 1-sin 0+sin²e-cos²0

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Q: 1. 10 – (sec x + 1)(sec x- 2) 18 sin x cos x+ 12 sin x cos x-15 sin x cos x 2. 3 sin x cos x

A:

Q: cos'x - tanx 5. prove it cot'x - sec'x sin'x 1+ sec x 6. sin'x sec x 1- cos x cosx 7. 1- sin x cos x…

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Q: lim x->-7  (-x-7)/(4-√(9-x)) lim x->-infinity (√6x^2 - 2x)/(x+8) lim x->0 (7x cos x + sin 5x)/3x

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Q: 1+2 sin x cos x 1-2 cos2 x sin x+cos x (d). sin x-coS x | |

A:

Q: sin- In2| 4+ tan¬'cos- dx 2 2 1+ cos- |4+ tan-'cos= 2 2sin- In2| 4+ tan-'cos- |dx 2 2 A 1+ cos2…

A: