Help solving sin^2t(1+cot^2)?

[somarp]

I am stuck on one problem with my trig homework.

Sin^2t(1 + Cot^2t)

I have used the Pythagorean Identity to get the following, but unsure where to go from here. The answer in the back of the book is 1

Sin ^2t(Csc^2t)

 

[stapel]

I am stuck on one problem with my trig homework.

Sin^2t(1 + Cot^2t)

Your subject line refers to "solving", which obviously doesn't apply to an expression such as you've posted. So what are the actual instructions for this exercise?

Thank you!

Eliz.

 

[Mrspi]

I am stuck on one problem with my trig homework.

Sin^2t(1 + Cot^2t)

I have used the Pythagorean Identity to get the following, but unsure where to go from here. The answer in the back of the book is 1

Sin ^2t(Csc^2t)

Use the fact that sin t and csc t are reciprocal functions...that is, csc t = 1 / sin t.