I want to solve \(\displaystyle{\cos{{3}}}{x}-{18}{\cos{{x}}}+{10}={0}\)

Jasiah Vincent

Jasiah Vincent

Answered question

2022-04-06

I want to solve
cos3x18cosx+10=0

Answer & Explanation

xcentricccrhb1

xcentricccrhb1

Beginner2022-04-07Added 12 answers

Given
cos3x18cosx+10=0
4cos3x3cosx12cosx+10=0
Factorizing the cubic equation as follows
(cosx12)(cosx2)(cosx+52)=0
If cosx12=0cosx=12x=2nπ±π3
If cosx2=0cosx2
If cosx+52=0cosx52
Hence, the general solution for x is
x=2nπ±π3

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?