The maximum value of (sin¹² θ + cos²⁰ θ ) for all the real values of θ is:

The maximum value of (sin¹² θ + cos²⁰ θ ) for all the real…

The maximum value of (sin¹² $\theta$ + cos²⁰ $\theta$ ) for all the real values of $\theta$ is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 1.

Given that

The maximum value of (sin¹² $\theta$ + cos²⁰ $\theta$ )

Concept used

The maximum value of sin $\theta$ = 1 , when $\theta$ = 90º

The value of cos 90º = 0

Hence, the value of (sin¹² $\theta$ + cos²⁰ $\theta$ ) = 1 + 0 = 1