Find-max-and-min-value-of-y-sin-2-x-cos-4-x-

Question Number 136437 by liberty last updated on 22/Mar/21

F i n d m a x a n d m i n v a l u e o f

y = \sin^{2} x + \cos^{4} x

Answered by rs4089 last updated on 22/Mar/21

y = 1 - {c o s}^{2} x + {c o s}^{4} x

y = \frac{3}{4} + {({c o s}^{2} x - \frac{1}{2})}^{2}

y_{m i n .} = \frac{3}{4} + 0 = \frac{3}{4}

y_{m a x .} = \frac{3}{4} + {(1 - \frac{1}{2})}^{2} = 1

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