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

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


1. -√2
2. -√5
3. √2
4. √5
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Correct Answer - Option 4 : √5

Given:

√2sin2θ + √5cos2θ

Concept Used:

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

Calculation:

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

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

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