The minimum value of 2sin2 θ

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The minimum value of 2sin² θ + 3cos² θ is?

Options:

Correct Answer:

Explanation:

2sin² θ + 3cos² θ

⇒ 2sin² θ + 2cos² θ + cos² θ

⇒ 2 + cos² θ

since cos² θ > 0 ; minimum value occurs when cos² θ = 0

∴ minimum value = 2