Question

2 sin square x equals to 1 upon 2 find x​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

Given,

$\sf2 \: { \sin}^{2} (x) = \frac{1}{2}$

$\sf \implies { \sin }^{2} (x) = \frac{1}{4}$

$\sf \implies \sin (x) = \frac{1}{2}$

$\sf \implies \sin (x) = \sin(30 \degree)$

$\sf \implies x = 30 \degree$

Answer 2

Answer:

2sin^2 X = 1/2. (given)

sin^2 X = 1/4

sin X = √1/4

sin X = 1/2 ------------------(i)

now, we know that,

sin 30° = 1/2. ------------------(ii)

from equation (i) and (ii)

we get,

so, X = 30°