Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of θ, which satisfies the equation: tan2θ + 3 = 3secθ

Options:

45°

60° or 0°

30°

90°

Correct Answer:

60° or 0°

Explanation:

tan2θ + 3 = 3secθ

⇒ sec2θ + 2 = 3secθ

⇒ sec2θ - 3secθ + 2 = 0

⇒ (secθ - 2) (secθ - 1) = 0

⇒ secθ = 2 or 1

θ = 60° or 0°