Odd and Even Trigonometric Functions 1. cos³x sin²x dx 2. f secx dx 3. Stan ³x cos³x dx

Q: Sec x cot x sin x

A: We will find the area solution.

Q: tan 5. CoS sin 12

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Q: Find the denivcate y(x)= Sind costan Tix). uaing chain rule

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Q: X Given X=- what is the exact value of sin(+X)? 3'

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Q: angles

A: As per policy, only first question is answered.  Please refer to the image below

Q: cos x 4 - 2 cos x COS X 9. Find dx (Please explain your answer).

A: Solving by substitute method we have

Q: 2x3 sin? x + x4 sin³ x – 3 sin² x + x* cos x 2 . dx x4 sin² x

A: I have stated the used formulas in the solution

Q: dy - cosec'x. cos x (i) By differentiating 6 show that if y = cot x then sinx' dr (ii) Show that x…

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Q: (cosx)(sin x)v1– sin x dx

A: Integration is the process of finding the anti-derivative of the given function. The integration of…

Q: tan x - cot x Cos 2x Cot X t tanX

A: Given: tanx-cotxcotx+tanx=-cos2x

Q: cscx+sec x E. Express in terms of sine and cosine. cot x+tan x A. sinx+cscx C. tanx+cot x B. sec…

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Q: cos x = sin 2x, x I SO 3.

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Q: π/4 0 (tan x + (sin x) ecosx) dx

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Q: |sin? 4x-cos 4x-dx

A: Given that a integration and we solve this integration by using general formulas of the integration.…

Q: sin 2x dx. sin a

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Q: cOs x dx sin² x+ 2 sin x+5

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Q: -sin x 0 [cos x - If f (x) = | sin x - 0, show that f(a)f (b) = f (a + b). 1] cos X %3D 0. 0.

A: Given: Here, f(a)=cosa-sina0sinacosa0001, f(b)=cos b-sin b0 sin bcos b0 001. Now,…

Q: sin (x) dx = none 031/3 2343 0 0 0 0

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Q: 10. ſ sinx tan(cosx) dx

A: In this question, we need to integrate using the substitution method.

Q: If sec A = 3, sin A < 0 Find sin (2A)

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Q: 4 cot x = cot x Sin 2 X

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Q: 2 Cos h (중) Cos h(지) + 1 | %3D

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Q: 11. Simplify the expression tanx-sinx sinx A. tanx-1 B. cos x-1 C. secx-1 D. sinx-1 cos2A 12.…

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Q: Differentiate y = (sin x)e A. (sin x)e (cot x- 2ln sinx) B. (sin x)e (cot x – In sinx) C. (sin x)e…

A: To find the derivative.

Q: S cos x dx. sin? x Evaluate А. - sec x + C В. sec x + C С. csc x + C D. cSc x + C

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Q: D m 0=313 3. Q. I- A Cose C. COSE = Sine e. I Sec 20 b. Sin ²0+ - =1 1 d. _ _I tono It. f. 1+_ =…

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Q: S(csc r cot x + 6x5)dx: cos x + x6 + c – csc x + xº + c tan x + x6 +c sin x x6 +c cot x + x° +c

A: Explanation of the answer is as follows

Q: Differentiate y = csc x(x + cot x).

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