Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

Q: Explain how to find ∫ cos15 x dx without actually integrating.

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Q: The value of 1 cos (tan ¹y) + y sin (tan¯¹y) cot (sin¯¹y) + tan (sin¯¹y) is......... +y¹

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Q: Find the periodic function f(x) = sinx + tan-+ sin- X + 23 + sin 2n+1 + tan ... 2n

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Q: Express (cos(a@) ti sin 4i sin (a@) in exponential form

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Q: snip

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Q: S./2(sec²x – cos²?x – tan²x)sin5xcosxdx -

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Q: Evaluate∫cos 6x dx without using the substitution method.

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Q: 1- Determine. 4. Cos 'x sinX dx

A: Given:                     ∫cos4(x) sin(x) dx     Solution:                    Integrating the given…

Q: Integrate  cos(8x) . sin^2 (8x)

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Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: express sin 0 and cos 0 in terms of t. 2 6. By using t = tan Hence,

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

Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

Q: If y=sin(sinx) show that y''+(tan x) y'cos2x=0

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Q: Prove a (cosa + cosß) + (sina + sinß) = 4cos² (@ - B) 2 %3D

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Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: Evaluate sin(x) 1+cos(x) -dx

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Q: 3. Prove that the identity is true. sin*t- cost = tan²t-1 cos't

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Q: Evaluate ∫sin2 x cos4 x dx.

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Q: cos 2x +1 Prove that sin 2x

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Q: Find sin 2x, cos 2x, and tan 2x if tanx=- 1 and x terminates in quadrant II. sin 2x %3D cos 2x %3D…

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Q: Evaluate: / [cos(x) – sin(x) ]dx

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Q: Prove using the IVT. tan-1x = cos-1x has a solution.

A: Given :                      tan-1 x = cos-1 xSolve :                     tan-1 x = cos-1 x…

Q: Differentiate a $sin "(z) with respect to sin x.

A: We will find out the required value.

Q: find the value of so that ky"=-1 at y=. 6. For cos x- sin y=-

A: On solving this by doing differentiation implicitly we get

Q: Show that Cosx dx 9- Sin 3D

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Q: Evaluate ∫sin 3x cos 5x dx

A: Given: I=∫sin3xcos5xdx                                                          ...1 for finding…

Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

Q: Find the first and second derivatives of r = [3 cos 2t, 3 sin 2t , 4t].

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Q: d(tan(x)) Using Euler’ formula, show that dx cos x 1.

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Q: If z =7 tan 0, express sin (20) as a function of z. sin (20) =

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Q: Find sin 2x, cos 2x, and tan 2x if tanx = - and x terminates in quadrant II. sin 2x cos 2x %3D tan…

A: Given data,  tan(x)= -(2/3) Where x in 2nd quadrant. A)sin(2x)=? We know that;…

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y)= siny

A: In question We have given two identities and we'll prove it, (i). Cos(π + x) = - Cosx  (ii). Cosx…

Q: Find sin(2x), cos(2x), and tan(2x) from the given tan(x) = -, cos(x) > 0 %3D sin(2x) = %3D cos(2x) =…

A: Given: tanx=-16,   cosx>0 sin2x can be calculated as, sin2x=2tanx1+tan2x          =2×-161+-162…

Q: Find a value of x that satisfies the equation sin 20o cos (x).

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Q: Evaluate sin 3x cos 5x dx.

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Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: cos (3x) · (8 sin (3x) – 1) dx = %3D

A: Given that : The integral is ∫ cos ( 3x ) ( 8 sin ( 3x ) - 1) dx  .

Q: 1. cos t (1 + tan²t) sin ß sec ß + cos ß csc ß 2.

A: Given : 1. cost1+tan2t2. sinβsecβ+cosβcscβ

Q: (x/2)

A: Please refer to the image below

Q: Find cos(2x) Given that sinx= 4/5 and 0<x≤ pi/2

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Q: What is the value of d. (sin x3 dx cos x²)? COS

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Q: Evaluate: cos³x dx sinx I =

A: We know that : sin2x + cos2x =1. we know that integration of xn = xn+1/ n+1 We use all of  this to…

Q: 12. Find the exact simplified function value of tan (2a). 4 where TTSAL 3T 2. Given sin a= -

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Q: If csc 0 = 2, calculate an e sec () sin² 0 exactly.

A: We use cosec x=1/sinx and tanx=sinx/cosx,secx=1/cosx. See 2nd step.

Q: 1-Show that a +B sina – sinß = 2cos(- 2 a -B

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

Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment