If `A=sin^(8) theta + cos^(14) theta`, then for all values of `theta`,

Explanation

We know, `0 le sin^2theta le 1`

`:. (sin^2theta)^4 le sin^2 theta`

`=>sin^8theta le sin^2 theta->(1)`

Similarly,

`0 le cos^2theta le 1`

`:. (cos^2theta)^7 le cos^2 theta`

`=>cos^14theta le cos^2 theta->(2)`

Now, adding (1) and (2),

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