The minimum value of \( \Large sin^{2} \theta+cos^{4} \theta \) is

A) \( \Large \frac{1}{\sqrt{2}} \)
B) \( \Large \frac{3}{5} \)

C) \( \Large \frac{3}{4} \)
D) \( \Large \frac{2}{3} \)

Correct answer:
C) \( \Large \frac{3}{4} \)

Description for Correct answer:
Minimum value of

\( \Large sin^{2} \theta +cos^{4} \theta \) will be at \( \Large \theta \) = 45 degree

Required minimum value

\( \Large sin^{2} 45+cos^{4}45=\frac{1}{2}+\frac{1}{4}=\frac{3}{4} \)

Please provide the error details in above question

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