Solve:\sqrt{2-2\cos x}+\sqrt{10-6\cos x}=\sqrt{10-6\cos2x}

ennuvolat4gv

ennuvolat4gv

Answered question

2022-02-26

Solve:
22cosx+106cosx=106cos2x

Answer & Explanation

Derrick Woods

Derrick Woods

Beginner2022-02-27Added 6 answers

We go some distance to a solution. Might as well get rid of the silly extra 2's, and solve
1cosx+53cosx=53cos2x
=86cos2x
From now on write w instead of cosx. So we are solving
1w+53w=86w2
Square both sides, simplify a bit. We get
1w53w=(3w22w1)=(1w)(3w+1)
Note that each side has a 1w. Cancel, remembering the root w=1. Then square both sides again. We get
53w=(1w)(3w+1)2

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?