FInd the value of `sin[2cot^(- 1)(- 5/12)]`

Explanation

`\cot ^{-1}(-5 / 12)=y`



Then `cot y=-5 / 12`




`\sin{ 2 \cot ^{-1} \frac{-5}{12}}=\sin 2 y`



`= 2 \sin y \cos y=((2 xx12)/13)xx \frac{-5}{13} \quad[\text { since } \cot y<0 \text {, so } y \in(\frac{\pi}{2}, \pi)]`
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