Inverse Trigo

What is the value of tan^-1((1/2)tan2A)+ tan^-1(cotA)+ tan^-1(cot³A) ?

1 Answers

Apply,

tain^-1x + tan^-1y = tan^-1 (x+y)1-xy in tan^-1(CotA) + tan^-1(Cot³A) as
(1 + cot²A) will get cancelled from num. and denom. in the formula..

and break (1/2)(tan2A) which equals tanA1 - tan²A

and continue..!!

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