Question

Solve ${\cos }^2\theta =\frac{1}{2}$, then $\theta =n\pi \pm \frac{\pi }{2},n\in I$
If true then enter $1$ and if false then enter $0$

• A. 0

Answer 1

The correct option is A 0
$\because {\cos }^2\theta =\frac{1}{2}$
$\Rightarrow {\cos }^2\theta ={\left(\frac{1}{\sqrt{2}}\right)}^2$
$\Rightarrow {\cos }^2\theta ={\cos }^2\frac{\pi }{4}$
$\Rightarrow \theta =n\pi \pm \frac{\pi }{4},n\in I$

Hence, the given statement is False