If $\sin 2θ = \cos 40°$, then - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\sin 2θ = \cos 40°$, then the smallest positive value of θ is:

Options:

25°

20°

40°

30°

Correct Answer:

25°

Explanation:

We have,

$\sin 2θ = \cos 40°$

If sinx = cosy then the value of x + y = 90^o

2θ + 40° = 90°

2θ = 90° - 40° = 50°

θ = 25°

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