How is cos(−x)=cos x?

empopavitnz

empopavitnz

Answered question

2022-12-16

How is cos(-x)=cosx?

Answer & Explanation

rottaceaggitenh9

rottaceaggitenh9

Beginner2022-12-17Added 4 answers

Demonstrate the given identity:
The given expression is, LHS=cos-x
cos-x=sin90--x...[cosx=sin90°-x]
=sin90°+x
=sin90°cosx+cos90°sinx...[sina+b=sinacosb+cosasinb]
=cosx+0...[sin90°=1;cos90°=0°]
=cosx
=RHS
Thus, the given relation cos(-x)=cosx has been proved.

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?