cot = cos/sin, so you have
sin + cos^2/sin
im well aware of that steve thank you for answering but i really wanted to know was is it at all possible to use factoring to solve this like i have up there
I don't see any way to use factoring. You don't in fact come up with
because you have that pesky 1/sin under the cos^2.
If you try to fractor out the sin, you get
and again you end up with sin^2+cos^2 on top.
We could do some " silly" factoring
sinx + (cosx/sinx)(cosx)
= sinx + cos^2 x (sinx)^-1
= (sinx)^-1 (sin^2 x + cos^2 x)
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