Expert Answers

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

Solve `tan(x)+sqrt(3)=0 ` :

`tan(x)+sqrt(3)=0 `

`tan(x)=-sqrt(3) `


The tangent has value `sqrt(3) ` when the sine has value `sqrt(3)/2 ` and the cosine has value `1/2 ` . (`tanx=sinx/cosx ` )

The tangent is positive in the first and third quadrants, and negative in the second and fourth quadrants.

Thus `x=-pi/3+npi ` for ` ``n in ZZ ` (n an integer.)

The graph of tan(x) and the line `y=-sqrt(3) ` :

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)
Approved by eNotes Editorial Team

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