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Find the minimum value of √2sin2θ + √5cos2θ.

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Find the minimum value of √2sin2θ + √5cos2θ.
1. √2
2. -√2
3. √5
4. -√5
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Correct Answer - Option 1 : √2

Given:

√2sin2θ + √5cos2θ

Concept Used:

Minimum value of a sin2θ + b cos2 θ is a if a < b

Calculation:

Minimum value of √2sin2θ + √5cos2θ = √2

∴ The minimum value of √2sin2θ + √5cos2θ is √2. 

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