(sin x) = (-1)" sin x and dr %3D (cos x) = (-1)" cos x. %3D

Q: cos" x sin xdx

A: We need to evaluate the following integral I = ∫cos7x sinx dx…

Q: COS X sin' n - Show that for n > 2, | sin x dx sin"-2x d.x n Use this to find sin x dx.

A: ∫f(x).g(x) dx = g(x).∫f(x)dx  -  ∫g'(x)∫f(x) dx   where f(x) is second function and g(x) is a first…

Q: Find the value of x in degrees: sin x = 0.8766

A: The sine function is positive in the first and second quadrant. We can use inverse sine function to…

Q: 7 cos?(x) sin(2x) dx

A:

Q: Siven cos x E and π x<. 5 ", find tan(2x) %3D

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Q: 6) | cos(/x). dx

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

Q: arc cos (11x) VI-121 y2 G(x)=?

A: We are asked to find the derivatives.

Q: cos 5x dx 2. S 3 + sin 5x

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Q: a. +4 cos x +6 sec x – 5 ) dx 2 x5

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Q: y = sin' x- cos 3 – cos' x cos³

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Q: Discuss the similarities and differences between y= sin 0 and y = cs

A: Here we have discussed the similarities and differences between y=sinθ and y=cscθ

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: How can the graph of y = sin-1 x be obtained from the graph of the restricted sine function?

A: given: y=sin-1x

Q: cos?X+ sin²x 1. sec 2X %3D cos²X

A: I am going to solve the given problem by using some simple trigonometry to get the required result.

Q: cos

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Q: 5. | cos(7x)dx

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Q: (40 sin (x) – 39 cos (x)) dx =

A:

Q: Sin(6x+16)=Cos(3x) Round answers to the nearest hundredth (2 decimal places). What does X = ?

A: We can find the value of x as below.

Q: Find ∫sin3 x cos4 x dx.

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Q: π/2 COS X 1 + sin² x dx

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Q: 37. 2(cos x)-/2 sin x dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 18. sin³ x cos x dx

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

Q: Differentiate.  y =cos x /(1 - sin x)

A:

Q: (2) S sin6 x+cos6 x sin³ x cos³ x dx

A: See this solution in below.

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

A:

Q: 2 cos (x2) - 4x 2 sin (x2)

A: 2 cos (x2) - 4x 2 sin (x2)

Q: (3) csc¯'x = sin X 1/

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Q: cOs x dx sin² x+ 2 sin x+5

A:

Q: | cos²x dx 1- sinx cos-x

A: Given. f(x) = cos2 x/(1-sinx) We need to calculate the indefinite integration of above function

Q: Im cos 2x + sin 2x} %3D Cos 4i - 4

A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…

Q: 345 cos dx 1-cos24x+sin? 4x

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Q: 4 cos () dx 10. x³ sin3

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Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

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 cos x + sin 2x dx 19. sin x

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Q: cOs Xx dx 4 + sin² x 9.

A: from the given data

Q: What is the first step in solving the equation 2 cos x - 1 5 sec x?

A: Given:  2 cos x-15 sec xFormula:  Trigonometric ratio cos x…

Q: sin ф dp cos? ф 4x 3x + cos (2x² + 1)| dx tan? x (1+ sin“ x) dr cos².

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find sin 2' COS and tan 2 - 2' 1 and 0° < 0 < 90° cs 0 =

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Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: cos 2x cos.x+ sin x xp-

A:

Q: 50 6x sin dx e sec sec

A: The question seems to be wrong. I have made a few changes. The solution is as follows below:

Q: evaluate the integral.

A:

Q: За (cos 4x sin 3x – sin3 x)dx a

A: Given: I=∫a3asin3xcos4x-sin3xdx We know that sinAcosB=sinA+B+sinA-B2…

Q: sin 2x dx 16 + cos? x

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Q: | cos(x) sin(2x) dæ

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Q: cos x sin xdx

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Q: If cos x= - cos 50° by 0° ≤ x≤ 360°. The value of x is...

A: