$\sin \left({\tan }^{-1}\frac{4}{5}+{\tan }^{-1}\frac{4}{3}+{\tan }^{-1}\frac{1}{9}-{\tan }^{-1}\frac{1}{7}\right)=$

Important Questions on Inverse Trigonometric Functions

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 19 - Inverse Trigonometric Functions>TS EAMCET - 5 August 2021 Shift 2>Q 7

If $f\left(n\right)=\tan \left[{\tan }^{-1}\frac{1}{1+2}+{\tan }^{-1}\frac{1}{1+6}+{\tan }^{-1}\frac{1}{1+12}+...+{\tan }^{-1}\frac{1}{1+n(n+1)}\right]$
then $f\left(2021\right)=$