1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3

Q: Prove that 1-x ', V 2 1+x cos'x = 2 sin 2cos 2 COS 1 -1

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Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: Is (1-sin x) not the same as (sin x - 1)?

A: (x - y) is not same as (y - x), whereas  (x - y) = - (y - x)

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: fOo)=Sinx-41 Cos x 1X-1 cos X (x)

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Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

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Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: Solve 2Cos^2x=Cosx for all values of x over the interval [0,2Pi]

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Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: if Sec X = 2 then tanx +Cos X =

A:

Q: 2 sin2x + sin x -1 =0

A: To Determine: Solve this equation:

Q: Explain how to transform sin x into the function f(x) = -sin x. 4

A: To transform the function sin(x) into the function f(x) =-14sin x, we can apply a vertical stretch…

Q: cos2x

A:

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: If 4 sin ¹xcos ¹x 4 COS X + 5 7 Find sin² 2x 5 + 1 12 cos² 2x 7 = ?

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Q: Differentiate: x¹0 cos(x)

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)