How do you simplify 3/(cosy-siny)-2/(sin^2y-cos^2y)?

1 Answer
Sep 5, 2016

=>(-3siny - 3cosy - 2)/((siny + cosy)(siny - cosy)

Explanation:

=>3/(cosy - siny) - 2/((siny + cosy)(siny - cosy))

=>-3/(siny - cosy) - 2/((siny + cosy)(siny - cosy))

Put on a common denominator:

=>-(3(siny + cosy))/((siny - cosy)(siny + cosy)) - 2/((siny + cosy)(siny - cosy))

=>(-3siny - 3cosy - 2)/((siny + cosy)(siny - cosy)

As far as I can see, you can't simplify further.

Hopefully this helps!