How to simplify sin⁡(−x)cos⁡(−x)?

Kaila Bray

Kaila Bray

Answered

2022-12-31

How to simplify sin(x)cos(x)?

Answer & Explanation

Shea Pace

Shea Pace

Expert

2023-01-01Added 6 answers

cosx is an even function. It follows that cos(x)=cosx
sinx is an odd function. It follows that sin(x)=sinx
sin(x)cos(x)=sinxcosx=tanx
Demetrius Arnold

Demetrius Arnold

Expert

2023-01-02Added 1 answers

It is an even function, so cos(x)=cos(x)
Similarly, because it is an odd function, sin(x)=sin(x)
So, the above ratio can be written
sin(x)cos(x) which is equal to tan(x)

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