Precalc Trig Identity, verify: 1 + \cos(x) + \cos(2x) =

Aubrey Hendricks

Aubrey Hendricks

Answered question

2022-01-26

Precalc Trig Identity, verify: 1+cos(x)+cos(2x)=12+sin(5x2)2sin(x2)

Answer & Explanation

Souticexi

Souticexi

Beginner2022-01-27Added 6 answers

For sinx20 we obtain:
1+cos{x}+cos2x=2sinx2+2sinx2cos{x}+2sinx2cos2x2sinx2=
=2sinx2+sin3x2sinx2+sin5x2sin3x22sinx2=12+sin5x22sinx2
I used the following formula.
sinαcosβ=12(sin(α+β)+sin(αβ))
For example,
2sinx2cos{x}=212(sin(x2+x)+sin(x2x))=sin3x2sinx2

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?