Q. 564.5( 2 Votes )

# If then A – B is equal to

A. I

B. O

C. 2I

D.

Answer :

A very basic idea of Inverse trigonometric function is required to solve the problem.

cos^{-1} x + sin^{-1} x = π/2 and cot^{-1} x + tan^{-1} x = π/2

As,

And

∴ A – B =

⇒ A – B =

∴ A – B =

Clearly It matches with option (D)

∴ option(D) is the only correct answer.

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