os (sin e)de

Q: B)Prove (cose + i sine)" = cosne + i sin ne

A:

Q: sin e+ cos e cot 8.

A: The given trigonometric expression is sinθ+cosθcotθ

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A:

Q: sin z- cos z # sin z cos z sin tanz SI EC

A: Here we have to prove, sinx·cosxtanx=cos2x

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Q: sin an Σ SI (In 4)" IM

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Q: Ut = Uxx e-3t sin(5x) + e−²t sin x, -2t u(0,t) = u(T,t) =0, u(x,0) = sin(2x).

A: Introduction: Laplace transformation and inverse Laplace transformation is very significant in…

Q: 1) sin C

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Q: cos z cot z = sin z

A: We have to prove cotz=coszsinz

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Q: a) sin C = 13 sin 83º 18

A: Solving a part of question 6 as it's the only one completely visible and we are obligated to solve…

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Q: sin(z) = %3D e-e-z 2i eiz-e-iz et +e-iz 2i et-e-iz | 2i

A: According to Euler's relation eiz=cosz+i sinz and e-iz=cosz-i sinz. This relation is obtained by…

Q: sin?(Væ) + cos (V)) dA, where R= [0, 2] × [0, 2]. R

A: The given integral is: I=∫∫R sin2x+cos2y dA,       where R=0, 2×0, 2

Q: theerem 3 2tt sine = S. I = do; a>l. anse 2T (a- Ja?) %3D a+ CEsO

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Q: sin +i e+ 4 e %3D 4 4 e

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Q: 1 Quadrant II 4 sin 0:

A: Given,          sinθ=14 ,Quadrant II

Q: 2 sine de= 8 .a O 15 10 TT b O 32 10 .C 32 32

A: Given integration is                                                                I=∫0π2sin6θdθ…

Q: a:1 c R E4 t a(t) = (cos (), sin (), 2, at) %3D ↑

A: Given the curve  α:I⊂ℝ→ℝ4 given by t→αt=cost2, sint2, 2, αt

Q: | sin"(2)dz a. b. /a sec"(2)dz

A: Explanation and solutions is given below....

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Q: sine cose tane= tane cos?e sin?e

A: Use tanθ=sinθcosθ

Q: Sin ndn

A: To evaluate the given integral

Q: coso sin D ino CSCD sece こ cosD

A: Given:cosθsinθ+sinθcosθ=cscθ secθ

Q: Establish each identity given in attachment.

A: Given:            sinα+β+sinα-β=2 sin α cos β Take LHS: sinα+β+sinα-β Use trigonometry formulas:…

Q: sin v de Evaluate da

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Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

Q: sin (z+27) .A sin z .B COS Z .C tan z

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Q: Calculate (cos + isin Hint: DeMoivre's Theorem: (cos x +I sin x "- cos nx +i sin nx

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Q: Eualhat At 5é sin (t-s)ds

A: Use the method of substitution to simplify the definite integral.

Q: sin o 2. Evaluate the integral. dø cos? ¢ A. cot² ¢ +c B. tan? o +c c. cot? ¢ +c D. tan? o + c

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Q: sece B a. tan B %3D 1+cot B

A: This question is taken from the trigonometry in which we have to prove the given trigonometry…

Q: tan B + cot ß tan B cot ß %3D tan B tan B tan B 1 + %3D csc? B %3D

A: Given query is to transform using identity.

Q: cos(A+B) sec(A – B) %3D cos² A-sin? B

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Q: tan A cot A = sin A+cos A SI sec A csc A

A: Given  tanAsecA+cotAcscA

Q: ei=e*(cos(y) + isin(y)) cOS

A: To prove : ez=excos y+isiny . Any complex numberz is represented by z=x+i y, where x,y∈ℝ. Replace z…

Q: sin (a+ B) こIt cot d ton B %3D COS& Cos B

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Q: 1 (i) sin(r2)*

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Q: ost and that  (e^it − e^−it)/2i = sin t

A: In this question, the concept of the Euler Formula is applied. Euler Formula eiθ=cosθ+isinθ

Q: SIAX-COSK sinx dメ Sinx tcosメ +COS

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Q: sin 4 -dz when C, : i) {z e C:z-1: -1 ,ii) {z eC://|= 3}

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Q: Verify the identity: (sin t + cos t)/(sec t + csc t) = sin t/sec t

A: The given identity is sint+costsect+csct=sintsect

Q: The simplified form of [csc(-1) + cos(–z)] - [3 sin?z sec² I] -3 sin I sec2 z + 3 sinI seC I 3 sin…

A:

Q: sin5wcos5w 4 J w²dw cos?w-cot2w+sin²w+csc2w

A: As per our guideline we supposed to answer only first question , kindly repost other as next…

Q: 5sin e Cose de Sin? o +3 Sine -4 2.

A: Solve the following

Q: 23. r = sin 0 (Hint: Convert to rectangular.)

A: There is no such introduction for the solution.I have explained it within the solution.Please go…