a) L{te-3t cos 3t}

Q: cose = +V(sin?0 - 1) O +V(1 + sin?e) O +V(1 - sin?e)

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Q: 3x 3x 16 cos + isin 4. 4. Sa 5x 34 cos + isin 3 3

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Q: sin 2x Verify 1+ cos 2x = tan x.

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Q: (글콜) (콜을) (0,1) (플플) (물) 120 3 60 135" 4. 45 5m 150 6 30'금 (-1,0) (1,0) OF0 180, 210 11a 330. 6 7m…

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Q: verify the given identity 87) csc2x = 1/2 cscxsecx 89) cos(x)/(5) = 1 - 2sin2(x)/(10)

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Q: 11 -1(cos( -(- COS 10

A: Given,cos-1cos( 11π10)

Q: D cos( 5t D sinf see Dcost cast) 4

A: See the attachment

Q: 3- cos nX Sin ux dx

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Q: 2" cos(r) dr.

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Q: c) √2 cos²x - COS X = 0 =

A: ​2​cos2x−cosx=0cosx(2​cosx−1)=0Case 1:cosx=0cosx=0⟹x=2π​,23π​,...Case…

Q: If Z-1/v2+i/v2 then the value of conjugate of Z^5=?* O cos(3n/4) O 2sin(5n/4) O 2cos(5n/4) cos(5n/4)

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Q: I'm having trouble trying to solve the problem csc x - csc x cos2 x = sin x. I'm having trouble…

A: you will need to use only these identities to solve the question;

Q: de -1 < B< 1 (1+B cos 0)² '

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Q: write a telescopic series including trigonometric functions and write anothrt telescopic series…

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Q: (b) Show that: cos(x cos 0) = Jo - 2J₂ cos 20 +2J4 cos 40 +

A: Solution (b):

Q: (cos(30) + i sin(30))5 in exponential form

A: Given expression is We know that  Therefore, Now, Thus,

Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

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Q: sin- a. b. undefined cos(-210) C. Cus270 tan450 d.

A: sin17π6=cosπ2-17π6=cos-7π3=cos7π3=cosπ3=12        cos-210∘ =cos210∘ =-32

Q: |12 sin(4x) cot(cos(4x)) dx

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Q: 12) y = 3 cosx + X

A: we have to locate the graph of the function y=3cos(x+π4) to locate this we will put the values of x…

Q: sin(즐) com(즉) and ton(즐) (5) from the given information. csc(x) = 5, 90° < x < 180° sin (€) cos…

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Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

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Q: Prove that

A: Given:d2ndx2nsinx=-1n sinxd2ndx2ncosx=-1n cosx

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

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Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

Q: sin5 4 3 cos6 4 4. dw

A: Giventhat:-∫π3π sin5 34ω cos6 34ω dωTo find:- value of IntegralSolution:- Integral ∫sin534ωcos6 34ω…

Q: If cos (z +) + sin (z -) If cos( x + 6 + sin ( x 3 A, then the number A = %3D

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Q: Show the solution for  (1 + cos A) (1 - cos A)

A: Explanation of the solution is given below..

Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: 1+cos4x 1. 1-cos4x -csc2xdx

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Q: Cos (tan (-1)) nin (con (-4))

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Q: show steps to simplify cos(2iln(i))

A: We have,    cos ( 2 i ln(i) )