MEDIUM
12th Uttar Pradesh Board
IMPORTANT
Earn 100

If cos-1+cos-1y+cos-1z=π, then prove that x2+y2+z2+2xyz=1.

Important Questions on Inverse Trigonometric Functions

HARD
12th Uttar Pradesh Board
IMPORTANT

Solve the following equation:

sin-1x+sin-12x=π3

EASY
12th Uttar Pradesh Board
IMPORTANT
If cos-1x+cos-1y=π2, then prove that cos-1x=sin-1y.
EASY
12th Uttar Pradesh Board
IMPORTANT
Prove that cos-1-x=π-cos-1x, x-1, 1.
MEDIUM
12th Uttar Pradesh Board
IMPORTANT
Prove that 2tan-112+tan-117=tan-13117.
EASY
12th Uttar Pradesh Board
IMPORTANT
Find the principal value of sin-1sin7π4.
HARD
12th Uttar Pradesh Board
IMPORTANT
If cos-1xa+cos-1yb=θ, then prove that x2a2-2xyabcosθ+y2b2=sin2θ.
HARD
12th Uttar Pradesh Board
IMPORTANT
Solve the equation sec-1xa-sec-1xb=sec-1b-sec-1a.