What is the solution of cos2x - cos x = 0 text{in the interval} [0, 2pi ) ?

alesterp 2021-02-13 Answered
What is the solution of cos2xcosx=0 in the interval [0,2π) ?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

tafzijdeq
Answered 2021-02-14 Author has 92 answers
Let use the trigoniometric identity cos2x=2cos2x1:
2cos2x1cosx=0
Factorize: (cosx1)(2cosx+1)=0
Use the zero product property: cosx1=0 or 2cosx+1=0
Solve both equations to consine: cosx=1 or cosx=12
cosx=1 when x=0
x=12 when x=ππ/3=(2π)/3 or x=π+π/3=(4π)/3
Aswer: x=0,(2π3),(4π)/3
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more