Given , \(\displaystyle{y}={8}{{\sec}^{{2}}{x}}+{18}{{\cos}^{{2}}{x}}\) find the minimum possible

Makayla Stevens

Makayla Stevens

Answered question

2022-03-23

Given , y=8sec2x+18cos2x find the minimum possible value of y.
y=8cos2x+18cos2x find the minimum possible value of y.

Answer & Explanation

Denise Daniel

Denise Daniel

Beginner2022-03-24Added 8 answers

y=8cos2x+18cos2x=
(18cosx8cosx)2+2424
tabido8uvt

tabido8uvt

Beginner2022-03-25Added 16 answers

Recall that by AM-GM inequality
8cos2x+18cos2x2144=24
with equality for
8cos2x=18cos2x

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