Let `A=sin^8theta+cos^14theta, " then "A_("max")` is

Let `A=sin^8theta+cos^14theta, " then "A_("max")` is
A. 1
B. `1/2`
C. `3/2`
D. None of these

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - A
We know that `0 le sin^2thetale1`
`rArr sin^8thetagesin^2theta`
Similarly, `cos^14thetalecos^2theta`
On adding, we get
`sin^8theta+cos^14thetalesin^2theta+cos^2theta`
`orsin^8theta+cos^14thetalt1`

4 views Answered 2023-02-05 15:29

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