If `12 sintheta-9sin^2theta` attains its maximum value at `theta=alpha` , then write the value of `s inalphadot`

Explanation

Given,

`y=12sintheta−9sin^2theta`

Add and subtract 4 in the equation to convert in perfect square,

=`4−4+12sintheta−9sin^2theta`

=`4−(4−12sintheta+9sin^2theta)`

=`4−(2−3sintheta)^2`


Because it takes max value
,so `(2−3sintheta)^2` gives the minimum value,
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