CUET Preparation Today
CUET
General Aptitude Test
Quantitative Reasoning
Trigonometry
If $sin^2 x = 3 cos^2 x $ and 0° ≤ x ≤ 90°, then what is the value of $\frac{x}{2}$ ?
22.5°
45°
15°
30°
sin²x = 3cos²x
tan²x = 3
tanx = \(\sqrt {3 }\)
{ tan 60º = \(\sqrt {3 }\) }
So, x = 60º
Now,
\(\frac{x }{2}\) = \(\frac{ 60º }{2}\)
= 30º