find-minimum-value-of-cos-2-w-sec-2-w-

Question Number 87624 by john santu last updated on 05/Apr/20

find minimum value of \cos^{2} w +

\sec^{2} w

Commented by john santu last updated on 05/Apr/20

AM ⩾ GM

\frac{\cos^{2} w + \sec^{2} w}{2} ⩾ \sqrt{\cos^{2} w \times \sec^{2} w}

\cos^{2} w + \sec^{2} w ⩾ 2

minimum value = 2