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If f(theta)=(s intheta+cos e ctheta)^2+(...

If `f(theta)=(s intheta+cos e ctheta)^2+(costheta+s e ctheta)^2,` then minimum value of `f(theta)` is `7` `8` `9` 4. None of these

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The correct Answer is:
9
If `f(theta) = (sin theta+cossec theta)^(2)`………..
`f(theta) = 1+4+cossec^(2)theta+sec^(2)theta`
`implies 5 + (1)/(sin^(2)theta cos^(2)theta) implies 5+ (4)/(sin^(2)2theta)`
min. value `implies 9`
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