: Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B 22 1 -sin (3e*) – -sin (11e*)+C C 22 D sin (3e*) + -sin (11e“) +C 22

Q: Evaluate: cos [sin cos[tan' +4 sin sec (" )

A:

Q: What is the particular solution of the function 3e" sin 5x – cos 5x? A cos 5æ + Bsin 5x + C'e" cos…

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Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: 11) fx-In x dx In x- 2 4 (ans. : -+c) 12) fx- tan'x dx (ans. : 2 -tan"l x -(x- tan"" x)+c) 2 13) fx'…

A: 11.Given,∫x.In x dx

Q: If u(s) = -11 ((s)°) (cos(s)), then: а) u' (s) = 11s (s)') sin(s) – 55s(s)*(cos(s)) – 11 ((s)°)…

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Q: Match each expression with the appropriate formula that would be used for simplification. sin 8x +…

A: Solution:-

Q: L(2 cos? t} 2) 2(s-2) b) s(s2 +4) 2(s-2) c) s(s? -4) 2(s + 2) d) 4)

A: Evaluation of L2cos2t we know by trigonometry  cos2t=2cos2t-1cos2t=cos2t+12

Q: Is cos (A+b)=cos A + cos(b)? Explain

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Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

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Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: (co0s(-)) +- (cos(- 1. COS because 6. COS 6.

A:

Q: valuate the integral using U-substitution x dx (7x2+3)5 1) S A)-(7x²+3)-6+ C C)-(7x² + 3)-4+ C…

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

A: Solution (b):

Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: Which of the following is true? | sin“ zdz (1+ cos a + cos² 2æ)²dx Ob. sin zdr = (1 – cos 2z)²dæ 2 1…

A: Given data: ∫sin4xdx We know that 2sin2x=1-cos2x Therefore, we get…

Q: S sin³x /cosxdæ =? O a. ( ?cos'z – cosz) vcosa + C O b. ) +c rt), O d. (cosr + cosz ) /cosz + C C.

A:

Q: Suppose f (x) =cos(4- ). Evaluate: A - 3sin x- B D 3sin

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Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Does cos (π/2 - x) = cos (x - π/2)? Explain with examples

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Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: What is the equivalent expression of 1+008 (2) + 1–008 (2) a) 2 csc²(z) Ob) 2 cos² (1) O c) sec²(x)…

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Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A:

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

A: Explanation of the solution is given below..

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

A: