Identities of Inverse Trigonometric Functions

IMPORTANT

Identities of Inverse Trigonometric Functions: Overview

This topic covers concepts such as Identities Based on Addition of Inverse Trigonometric Functions, Identities on Addition for arcsin(x), Identities on Addition for arccos(x), and Identities on Addition for arctan(x).

Important Questions on Identities of Inverse Trigonometric Functions

HARD
IMPORTANT

If y=tan-11x2+x+1+tan-11x2+3x+3+tan-11x2+5x+7+tan-11x2+7x+13+ up to n terms, then dydx is

EASY
IMPORTANT

Evaluate:    tan 1 ( 1 2 )+ tan 1 ( 1 5 )+ tan 1 ( 1 8 )

MEDIUM
IMPORTANT

What is the value of the given expression   cos 1 ( 4 5 )+ cos 1 ( 12 13 )

MEDIUM
IMPORTANT

What is the value of the given expression cos145+cos11213?

HARD
IMPORTANT

tan1x1x2+tan1x+1x+2=π4, then the value of x could be

EASY
IMPORTANT

cos( sin 1 3 5 + cot 1 3 2 )  would be equal to:

MEDIUM
IMPORTANT

What is the value of the given expression  cos145+cos11213.

MEDIUM
IMPORTANT

The solution of the equation tan12x+tan13x=π4 would be:

MEDIUM
IMPORTANT

The value of x for which   sin[ cot 1 ( 1+x ) ]=cos( tan 1 x )

EASY
IMPORTANT

The value of   tan[ cos 1 ( 4 5 )+ tan 1 ( 2 3 ) ] is

MEDIUM
IMPORTANT

If y=r=1ntan-11x2+(2r-1)x+r(r-1)+1, then the value of dydx at x=0 is 

HARD
IMPORTANT

Solve the equation cos-1x+cos-12x=2π3.

MEDIUM
IMPORTANT

Write the simplest form of tan-1cos x-sin xcos x+sin x, 0<x<π2.