# how to prepare inverse trigonometry?

Arun Kumar IIT Delhi
8 years ago
The most important thing about inverse trigonometry is remembering domain and range of the functions.

Secondly you should remember graphs of all of them to solve some particular very fast.

$\\cosec^{-1}x\,domain=(-\infty,\infty)\,range=[-\Pi/2,0)or(0,\Pi/2] \\cos^{-1}x\,domain=[-1,1]\,range=[0,\Pi] \\cot^{-1}x\,domain=(-\infty,\infty)\,range=[-\Pi/2,0)or(0,\Pi/2] \\sec^{-1}x\,domain=(-\infty,\infty)\,range=[0,\Pi/2)or(\Pi/2,\Pi] \\sin^{-1}x\,domain=[-1,1]\,range=[-\Pi/2,\Pi/2] \\tan^{-1}x\,domain=(-\infty,\infty)\,range=(-\Pi/2,\Pi/2]$

Arun Kumar
IIT Delhi