=sec? Ge) 2. cos'(x) tan(x) df da (3) If f(x) = In find You do not need to simplify. 4x-7

Q: 플) - cos X = sin x 2.

A: cos(x-π2)=sin x

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: Solve sin(r) + 4 sin(x) cos(2a) = 0 for x € (0, 5). Give your answer in radians correct to 3 decimal…

A: Soution:Given     sinx + 4sinxcos2x = 0and x∈0,π2 . To find the value of x

Q: (8 cos x + 9 sin x) dx

A: SOLUTION-

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A:

Q: 9. Sin 2X dx COS 2X

A:

Q: 5 cos2(x) sin(2x) dx

A:

Q: y = sin' x- cos 3 – cos' x cos³

A:

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: 3x 7 If sin x= - 西,1Sx<2 37 and CoS y = 2 evaluate: tan (x+y)

A: Given problem:-

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

Q: Where does the periodic function f(x) = 2esin (x/2) take on its extreme values and what are these…

A: Consider the function:  fx=2esinx2 The given function will be maximum when sin(x/2) =1 because the…

Q: cos

A:

Q: sin x cos" п — 1 n 2 2, | co cos"-2 x d.x Show that for cos" x dx Use this to find cos4. x dx.

A: Given, ∫cos4xdx

Q: Solve Sin (3x) %3D cos (2x)

A: to find derivative of y=sin3xcos2x

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7. (C): Solve the following…

A:

Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: π/2 COS X 1 + sin² x dx

A:

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

A:

Q: (b) Use the graph of cos x to determine where cosx is positive and where it is negative. (c) Explain…

A:

Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

A:

Q: 1. f(x) = cos (-:-)

A: From graph, it is clearlimx→∞cos1x =limx→-∞cos1x = 1

Q: - sin(x®) 9u e cos(3x)· du 9u? Inx5

A: Given- ∫lnx5sin(x6)cos(3x)e9u29u2du To evaluate the given integral.

Q: Evaluate the integral.

A:

Q: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at'x = =. (Enter an…

A:

Q: 4 cos () dx 10. x³ sin3

A:

Q: 4. (e) sinx-cos" xr sinx-

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find an approximate solution, accurate to 5 decimal places, to the equation cosx=x2 that lies in the…

A:

Q: If f (x) = - cos(x), then f (10) (x) is equal to (A) - sin (x) ® -cos(x) © sin(x) D cos(x)

A:

Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: ,(xsinx+cos.x)x'cos"x - x sinx + cos.r cos³ 3 dx x°cos?x

A:

Q: Find cos x + sin 2x dx 19. sin x

A:

Q: Sih X pronf:, sin1x) cosinx)dx Sin (1-h)X

A:

Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

A:

Q: If cos(x) = - and sin(y) = - with tan(x) > 0 and cos(y) < 0, algebraically compute the exact value…

A:

Q: 1. Solve sin x= for X where 0° <x<90°. Enter your next step here

A:

Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)

Q: y = cos (tan (3x)) A. -9cos? (tan (3x))sin (tan (3x)) sec (x) B. -9cos? (tan (3x))sin (tan (x))…

A:

Q: 8 sin(2x) cos(2x) dx

A: We have to evaluate the given integral

Q: b- S sin5x.cos²x.dx

A:

Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: 4x 3x + cos (2x² + 1) tan? x) x (1+ sin² dx

A: Here We have to evaluate;  a) ∫4x3x+cos(2x2+1)dx b) ∫tan2x(1+sin2x)cos2xdx

Q: 30. sin x cos(cos x) dx

A: The given integral is ∫sin x coscos x dx. Let u=cos x. Then, du=-sin x dx.

Q: 1 dp- sin x cos x cos?,

A:

Q: S sin 3x cos xdx

A:

Q: a(cos2x) sin(x-) TC 1. f(x) = tanx 4. What values should a and b take for the function fx) to be…

A:

Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment