Let . Then, for all real…

MATHEMATICS · Multi correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Let y=sin⁡2x+cos⁡4xy=\sin^2x+\cos^4x. Then, for all real xx, (1) The maximum value of yy is 22. (2) The minimum value of yy is 34\frac{3}{4}. (3) y≤1y\le1. (4) y≥14y\ge\frac{1}{4}.

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