F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4 cos 4

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

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

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Q: cos(2A + A) = −3 cos A + 4 cos³ A

A: NOTE: Refresh your page if you can't see any equations. . the left-hand side is  use the formula

Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: "/4 4 12. r² sin 0 cos 0 drd0 0 0

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Q: By expressing the product as a sum, 2cos(3x)cos(4x)= ?

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Q: cos(0 + B) = cos 0.cosB- sin 0. sinB . cos(0 + 0) - cos 20 - cos2e-sin2e 1- cos 20 1-cos2e+ sin 20…

A: We have to prove the trigonometric result.

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: 4). Evoluate 2. (88e0 COS X cot x)dx 4

A: Definite integration

Q: Assume that sin (x) = cos (x - y) = 3 5' sin (y) 4 == where 9' EN < x < π and 3π < y < 2n. Calculate…

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Q: sin x-2 cos 2 ド|N

A: Given inverse trigonometric equation sin-1x - 2cos-122 = -π2                               ⇒sin-1x -…

Q: sin adx =? O A. - cos r + 2 Cos cos z | +e 4. O B.-z+2-증 O C. - cos x +2 cos I +C COS D. cos x cos 2…

A: Given: I=∫sin5xdx We know that sin2x=1-cos2x                                              ..1 So, by…

Q: Rewrite cos x + 3 in terms of sin(x) and cos(x). COS

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Q: Diff eqn. 25) y' + (tan x)y = cos x when -pi/2 < x < pi/2

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: Sešx cos 8x dx 3x [8 sin 8x - 3 cos 8x] + C A) 73 B) 73 [8 sin 8x + 3 cos 8x] + C C) (8 e3x sin 8x +…

A: MULTIPLE QUESTIONS:   “Since you have asked multiple questions, we will solve the first question for…

Q: 4. sin (5x + 22) = cos (4x + 14). Find x.

A: Equation is given by                sin(5x+22)= cos(4x+14)   ---(1)       formula which is to be…

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

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Q: s 4

A: To simplify (cos 3x)(cos x)-(sin 3x)(sin x)

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: the sum of sin h 2x and cos h 2x

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Q: b) S. cos x cos 7x dx

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Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.

Q: 3) cos-1x. dx

A:

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: 4. [(3sin 2f – 3 cos 5t )dt 5. sin x dx cos x

A: 4) Given:            ∫3sin2t-3cos5tdt       =∫3sin2t dt-∫3cos5t dt taking constant out…

Q: 6. Which of the following is FALSE? 7. f A. (4 cos x-3 sin x) dx = 4 sin x + 3 cos x + C B. f3e³x dx…

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Q: b) You are given that g(x) dg da for a number b. You have to find b. b = -= cos(7x) 3 sin (7x) 5…

A: