1. Tardigrade
  2. Question
  3. Mathematics
  4. sin[3 sin-1(0.4)]= .......

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $sin\left[3\,sin^{-1}\left(0.4\right)\right]=$ .......

MHT CETMHT CET 2019

Solution:

Let $E=\sin \left[3 \sin ^{-1}(0.4)\right]$
put $\sin ^{-1}(0.4)=\theta \Rightarrow \sin \theta=0.4$
$\therefore E=\sin (3 \theta)=3 \sin \theta-4 \sin ^{3} \theta$
$=3(0.4)-4(0.4)^{3}$
$=1.2-4(0.064)$
$=1.2-0.256$
$=0.944$