Prove that (7 sin2m-10 cos2n-10 = – B(m,n)

Q: ſcos 3t sin 8t dt * 1/2 (-1/5 cos5t - 1/11 cos11t ) + C O 1/2 (1/5 cos5t - 1/11 cos11t) + C O None…

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Q: Prove that n r=0 "C, sin rx.cos (n-r)x=2"-¹x sin nx. 1

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Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: b) 6(sin x)² + cos 2x + 1 = 0 [0,2π] I

A: Solution6 sin2x+cos 2x+1=0we know cos 2 x= 1-2 sin2xput this value in the given equation,6 sin2 x+…

Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +…

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Q: c. sin"(t)- cos (t) = 2sin (t)-1 = CS d. cot (2y)+cos?(2y)+ sin (2y) = csc²(2y)

A: Given,  c. sin4(t)-cos4(t)=2sin2(t)-1d. cot2(2y)+cos2(2y)+sin2(2y)=csc2(2y)

Q: 4-1{ 1 s(s? + 4 ၂။ sin2t.dt

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

Q: Show that M8 Σrk k= pk cos(ak) = −1+ 1-2 2(r2-2r cos a+1)

A: Using summation of infinite series in geometric series Sum = first term /(1- common…

Q: 1 Evaluate [ (x³ +cos(3x))dx 2

A: The given integral is ∫x3+12cos3xdx.

Q: -2 cos(6t) dt J (10+4 sin(6t))²

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Q: $ S®- floor't. & сод

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Q: Z1 "(cos(0, r2 Z2 02) + isin(0, – 02)](z2 # 0). 85. Let z1 = ri(cos 0, + isin 01) and z2 = r2(cos 0,…

A: Given z1=r1cosθ1+isinθ1 and z2=r2cosθ2+isinθ2.

Q: Prove | cosz |2 = cos²x+ sinh²y.

A: To Prove: cos z2=cos2x+sinh2y

Q: Consider solving x²V1-x² dx using trigonometric substitution. Which of the following is true? a. 2…

A: In trigonometric substitution method, the variable is substituted with a trigonometric function to…

Q: ( sin(3x+1) cos?(3x+1) Evaluate

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Q: . Let z = 1+ cos 0 + i sin 0, where - < 0 <0. (a) Show that |z| = 2 cos -1 and arg z = (b) Hence…

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Q: 8t Lle sin 5t cos 5t] = O a. S-8 2 (s – 8) + 100 O b. (s - 8)+ 100 OC. 1 2 (s-8) +100 d. O d. No…

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Q: (a/3 d(cosx) =? 24 - sinx O A) V3/2 O B) 1/2 C) -1/2 O D) -1/3 E) T/3

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Q: (5е? + 9* — 8 sin x)dx - 8 sin æ) de O 5e* + x° – 8 cosx + c x° - 8 cos x + c О Бе + x —— 8 sin x +…

A: Solving the problem by doing the integration.

Q: 2Tn Which signal is the same as In = 2 cos 10 1 i2nn/10 2 1 1 1 (a) pi2n/10 -12 πn/10 (b) 12πn/10 e…

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Q: Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

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Q: Sæ³ cos(x*) dæ =

A: We solve it by u part method , ∫x3cosx4dx Let u = x4 Differentiate both side , we get   du = 4x3dx…

Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: Show that in the interval (0,1) COS TTX = ∞ TT n=1 n 4n²-11 -sin 2nπx

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Q: find | cos*x dx 1 1 1 А) — — х —- sin2x + —x + — sin4x + c 4 1 B) =-x +- sin2x + X 4 1 8 1 x + sin4x…

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Q: Evaluate L{3 cos? 2t} 3 3s 3s а) b) 2s + - 2s 2(s2 + 16) 2(s² + 16) 1 c) 3 d) S 3s 2s ' 2(s2 + 16)…

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Q: 2x 2)/3x* 2) [3x* - 9x² +1 V9-x² dx .2 3) [ sin xcosx dx x cos.x 4) S sin² xcos 4) sin x cos x dx

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Q: Sz sin2m-10 cos2n-10 —— В (т, п) 2

A: It is known that, βm,n=∫01xm-11-xn-1dx

Q: Q2) A Differentiate the following ( 1)y= [(5x) (4- 2x)]²

A: As per bartleby guidelines we only give first question answers.

Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: 1) Solve det [i4(îĥ.ở)] where ở li ). and în = COS + sin j. (i = V-1)

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin3012 [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.