If sin ( θ + 30) = cos5&theta

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin ( θ + 30) = cos5θ then what is the value of θ ?

Options:

30 degree

10 degree

15 degree

20 degree

Correct Answer:

10 degree

Explanation:

sin ( θ + 30º ) = cos5θ

{ If sinA = cosB then A + B = 90º }

So, θ + 30º + 5θ = 90º

6θ = 60º

θ = 10º