Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $sin^2 x - 3cos^2x = 0 $, then the value of x (0 < x < 90°) is :

Options:

45°

30°

60°

15°

Correct Answer:

60°

Explanation:

sin²x - 3 cos²x = 0

sin²x = 3 cos²x

tanx = \(\sqrt {3 }\)

{ we know, tan60º = \(\sqrt {3 }\) }

So, x = 60º