Inverse Trigonometric FunctionHard

Question

If a1, a2, a3 .........an in A. P. with common difference d,
then tan is equal to -

Options

A.
B.
C.
D.

Solution

d = a2 - a1 = a3 - a2 = ..... = an - an-1 .... in A. P.
tan
tan [tan-1a2 - tan-1a1 + tan-1a3 - tan-1a2 + .... + tan-1an - tan-1 an-1]
tan[tan-1an - tan-1a1]
tan tan-1

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