If 2sinθ + 2sin2θ = 2, then

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 2sinθ + 2sin²θ = 2, then the value of 2cos⁴θ +2cos²θ is :

Options:

Correct Answer:

Explanation:

2sinθ + 2sin²θ = 2

sin²θ = 1 - sinθ

1 - cos²θ = 1- sinθ (sin²θ = 1 - cos²θ)

cos²θ = sinθ

cos⁴θ = sin²θ

Thus, 2cos⁴θ +2cos²θ = 2sin²θ + 2sinθ = 2