Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec2θ + tan2θ = 7, then find the value of θ when 0°≤θ<90°.

Options:

60°

30°

45°

Correct Answer:

60°

Explanation:

⇒ sec2θ + tan2θ = 7

⇒ (1+tan2θ) + tan2θ = 7

⇒ 2tan2θ = 6

⇒ tanθ = \(\sqrt {3 }\) 

⇒ θ = 60°