Simplify: \frac{\sin(x)\cos(x)}{1-\sin^2(x)}

Davin Sheppard

Davin Sheppard

Answered question

2022-04-26

Simplify:
sin(x)cos(x)1sin2(x)

Answer & Explanation

morpheus1ls1

morpheus1ls1

Beginner2022-04-27Added 22 answers

Simplify sinxsin(π2x)+cos2xcotx:
Given the Pythagorean identity, sin2(x)+cos2(x)=1, rearrange the equation to say cos2(x)=1sin2(x). Replace the denominator with this to receive:
sin(x)cos(x)1sin2(x)=sin(x)cos(x)cos2(x)
=sin(x)cos(x)cos(x)cos(x)
=sin(x)cos(x)=tan(x)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?