If sinθ + cosecθ = 2.

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sinθ + cosecθ = 2. Find the value of (sin¹⁶⁴ θ + cosec²³⁵ θ).

Options:

164 + 235

Correct Answer:

Explanation:

If sinθ + cosecθ = 2

then, sinθ =1 and cosecθ = 1 (always)

so, θ = 90°

Put in find → sin¹⁶⁴ θ + cosec²³⁵ θ

= 1 + 1 = 2