Question

express the trignometric ratio of sin a in terms of cot a

Answer 1

cosec²A=1+cot²A
cosecA=√1+cot²A

We know sinA=1/cosecA
therefore sinA=1/√1+cot²A

Answer 2

we know that

cosec2a = 1+cot2a

cosec(a) = root(1+cot2a)

1/sina = root(1+cot2a)

then

Sina = 1/root(1+cot2a)

I hope it will help you..