`tan(2x) - cot(x) = 0` Find the exact solutions of the equation in the interval [0, 2pi).

Expert Answers

An illustration of the letter 'A' in a speech bubbles


express in terms of sin and cos,





using the identity `cosAcosB-sinAsinB=cos(A+B)`



General solutions for cos(3x)=0 are,

`3x=pi/2+2pin, x=(3pi)/2+2pin`

`x=(4pin+pi)/6 , x=(4pin+3pi)/6`

Solutions for the range `0<=x<=2pi`  are,


Approved by eNotes Editorial Team

Posted on

Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial