Question

write sin A in form of cot A

Answer 1

1/(root of cot^2A+1)

Answer 2

$\sin(a) = \frac{1}{ \csc(a) } \\ \\ \ \csc {}^{2} (a) = \: \cot {}^{2} (a) + \: 1 \\ \\ \sin {}^{2} (a) = \: \frac{(1)}{ \ \: (cot {}^{2} (a) + 1 ) { }}^{2} \\ \\ \sin(a) = \frac{1}{ \sqrt{ \cot {}^{2} (a) + 1 } }$