What if this function simplified?

Hi!

Let's first expand the cotangent of theta.

You'll probably know that tangent will be "y/x", or , and cotangent is the reciprocal of this, meaning that it is "x/y" or .

That means that we are now given this equation.

That'll multiply to:

We'll want a common denominator to add by multiplying to both top and bottom of the second term:

Pythagorean Identity states that , so substitute that in:

Which simplifies to:

Hope this helps!

y= -