If y = 9 sec 2 </msup> &#x2061;<!-- ⁡ --> x + 16 csc 2 </ms

Marianna Stone

Marianna Stone

Answered question

2022-05-20

If y = 9 sec 2 x + 16 csc 2 x ,find the minimum value of y , y , x R

Answer & Explanation

sag2y8s

sag2y8s

Beginner2022-05-21Added 10 answers

9 sec 2 x + 16 csc 2 x = 9 ( 1 + tan 2 x ) + 16 ( 1 + cot 2 x )
= 9 + 16 + ( 3 tan x 4 cot x ) 2 + 2 3 tan x 4 cot x 25 + 24
The equality occurs if 3 tan x 4 cot x = 0

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