Question

Is $x=\frac{\pi }{2}$ is a solution of the equation:
$2{\sin }^{2}x+{\sin }^{2}2x=2$

• A. True
• B. False

Answer 1

The correct option is A True

Solution must satisfy the equation, change putting $x=\frac{\pi }{2}$ in equation

$2{\sin }^2\frac{\pi }{2}+{\sin }^{2}2\left(\frac{\pi }{2}\right)$ $\because \sin \frac{\pi }{2}=1$

$\Rightarrow 2{\sin }^2\frac{\pi }{2}+{\sin }^2\pi$ $\sin \pi =0$

$=2=$ RHS. TRUE