Question

if 4 cos square x is equal to 3 and X is an acute angle find the value of x​

Answer 1

We have:

4$\cos^2 x$ = 3

We have to find, the value of x​(an acute angle).

Solution:

∴ 4$\cos^2 x$ = 3

⇒ $\cos^2 x$ = $\dfrac{3}{4}$

⇒ $\cos x$ = ± $\sqrt{\dfrac{3}{4}}$

⇒ $\cos x$ = $\dfrac{\sqrt{3} }{2}$ [ ∵ Negative sign is not possible because x is an acute angle]

⇒ $\cos x$ = $\cos \dfrac{\pi}{6}$

⇒ x = $\dfrac{\pi}{6}$ or, 30°

Thus, the value of angle "x is $\dfrac{\pi}{6}$ or, 30°".

Answer 2

Answer:

Above answer should be mark as ब्रेनलिस्ट,

clear explanation. good work.