8. sin 2a = Zsn AcosA 24 25 12 25 9. cos 2a =

Q: 1 + sin 4x cos 4x + C 8. 13.

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Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: sec(θ)=11/3

A: Please refer to the image below

Q: **#1.) In triangle JKL, mZK = 90° and tanl = Determine the value of cos). %3D

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Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose that places) < 0 < 2T, csc(0)=8/3, find sin(0)=___. 2 (round to 3 decimal

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Q: 11m If 0 = 6. then sin(0) • %3D cos(0) =

A: Answer

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: (a) Show that the equation cos rdr + (1+ -(+)- sin rdy = 0 is not exact.

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Q: 2+7 sin cos z zp-

A: Given: ∫2+7sin3zcos2zdz

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: 3. Compute : exp(i sin(e¯ni)).

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Q: 3. Show that the equation 1 + cos(x) – 2sin(=) = 0 has a solution in the interval [0, 7 /2].

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Q: S 3. sin°ydy 1+ cosy

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Q: 2. 2 | sin xcos xdx

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Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: 9. 6. If sin(0) = 41 and tan(0) = find sec(0). 40 %3D |

A: Trigonometry problem.....

Q: 1. [(10 cos2x - 5 csc2x +4 tan2x + 8 sin2x)dx

A: Integration properties help to find the integration of the given function. Integration property for…

Q: – 27 then If 0 3 sin(0) = cos(8) =

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Q: 9 sin sin 2O° =Y 1o) cos cos 70 = a4 24 1)Sin Sin 7o = X 24 12) cos cos 20 = _ x %3D 24 24 20

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Q: Find sin2x, cos2x, and tan 2x if cosx - and x terminates in guadrant III. 13 sin 2x cos 2x tan 2x

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Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

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Q: 3. Compute : exp(i sin(e¬ni)).

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Q: 6). S sin 20 cos 50 de

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Q: 15 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in guadrant III. 17

A: Given that: sinx=−1517 To find: sin2x, cos2x, tan2x

Q: Suppose that π≤θ≤3π/2, tan(θ)=6/12, find sin(θ)=______. (round to 3 decimal places)

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Q: *(+²–1) cos[cosh (In r")]dr 4.

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Q: 14. Evaluate cos 3x+ dx. 2

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Q: 1 Find sin 2.x, cos 2x, and tan 2x if and x terminates in guadrant IV. 10 cosx=

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Q: 2. If 90° < 0 < 180° and cos 0 =-, find sin. %3D 11/3 11/3 3 ) - 3V11 11 O 3/11 11

A: We know that the trigonometric identities :  cos x = 1 - 2 sin2 (x/2)

Q: 9/8 2* CoSメーenp and X=/t+] its dus

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: 4 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in guadrant III.

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Q: 1 을 with If sin B B in Ql, find B sin ? В sin 3 + 2 6. 2 B sin 3 + 2 3+22 sin 2 6 sin 2 B 3+2/2

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Q: 7/4 *(1 – sin 2t)3/2 cos 2t dt

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Q: 10 de cos(0) – 1

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Q: If 20 is in QII and cos 36 cos 0+ sin 30 sin 0 = then sin 20 is equal to 2 O V2 O V3 2 0 1 o 1

A: cos 3θ cosθ+sin 3θ sinθ=-12

Q: 21) (1 + cos 9t) 2 sin 9t dt

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Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

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Q: 22: Evaluate Sea s cos²(y s) ds.

A: Solution:-

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in quadrant II. 17

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Q: 11.Show that A cos (ω0t) + B sin (ω0t) can be written in the form r sin(ω0t − θ). Determine r and θ…

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Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the…

Q: Find sin 2x, cos 2x, and tan 2x if sinx= and x terminates in guadrant IV. sin 2x %3D cos 2x %3D tan…

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Q: 5. sin'(21) cos°(21) dt

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Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.