5 <. If the angle a (measured in radians) is such that 2π

Q: 5. (tan2x + cot2x)² dx

A:

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

A:

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

A:

Q: sin* x – cos* x = 1 x – cos? x

A:

Q: (arctan o tan)' = 1 – pi k E z°(k +1/2)pi When differentiating on the Real line is this true?

A:

Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: What vaule of 0 = sin (0/3 - 10)

A: that is equal to 0=sin(0-10) than 0=sin(-10) such that -10=sin^-1(0) that is equal to zero

Q: Show that os (2 tan~ r) COs

A: We have to prove that cos(2tan-1x)=1-x21+x2.

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

A:

Q: Express cos 2 sin cos(2 sin-1(+)) in terms of x.

A: The objective of the question is to express the given trigonometric expression, cos(2 *…

Q: sin' t – cos' t Prove tan?t – 1 cos? t

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Q: Find sin a. (-/5 ,2) [ ?] 1

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Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: Verify the identities.  A) (2sinx+cosx)^2 + (2cosx-sinx)^2=5 B) (cos(theta)+1)/tan^2(theta)=…

A:

Q: ( co*2)° + (sinz)* = x). COs x a concrete number ).

A: As this is the Standard Definition of Trigonometric Identities, that,