Question

2 sin 4 theta equals to 1 by 2, find theta​

Answer 1

Given,

$\[2\sin 4\theta = \frac{1}{2}\]$

Solution,

Calculate the value of $\[\theta \]$.

$\[\begin{array}{l}2\sin 4\theta = \frac{1}{2}\\ \Rightarrow \sin 4\theta = \frac{1}{4}\\ \Rightarrow 4\theta = {\sin ^{ - 1}}\left( {\frac{1}{4}} \right)\\ \Rightarrow \theta = \frac{1}{4} \times {\sin ^{ - 1}}\left( {\frac{1}{4}} \right)\end{array}\]$

Hence the value of $\[\theta \]$ is $\[\frac{1}{4} \times {\sin ^{ - 1}}\left( {\frac{1}{4}} \right)\]$.

Answer 2

Answer:

2 Sin 4theta=root3

sin 4theta=root3/2

sin theta=60/4

theta=15