Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sinθ + cosecθ = 2.  Find the value of (sin156 θ + cosec285 θ).

Options:

\(\frac{1}{153 × 2\sqrt {3}}\)

156 × 285

\(\frac{156}{285}\)

2

Correct Answer:

2

Explanation:

If sinθ + cosecθ = 2

then, sinθ =1 and cosecθ = 1 (always)

so, θ = 90°

Put in find → sin156 θ + cosec285 θ

= 1 + 1 = 2