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Tan 270 Degrees

tan(270°) is undefined.

Answer

tan(270°) is undefined. The angle 270° equals 3π/2 radians (270 × π/180).

Tangent is sine divided by cosine. At 270° the cosine is 0, so the ratio would need division by zero. The graph of tan has a vertical asymptote at this angle and the value grows without limit as you approach it.

Where 270° sits on the unit circle

270° lies on the negative y-axis. Remember that tangent is positive in quadrants I and III, and negative in the others, which decides the sign of the answer.

How to calculate tan 270° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 270.
  4. Press = – you will see an error, because the value is undefined.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 3π/2 instead of 270.

Quick results

sin 270°= -1
cos 270°= 0
tan 270°= undefined

Tan of common angles

AngleRadiansTan
0°00
30°π/60.57735
45°π/41
60°π/31.732051
90°π/2undefined
120°2π/3-1.732051
135°3π/4-1
150°5π/6-0.57735
180°π0
270°3π/2undefined
360°2π0

Frequently Asked Questions

What is tan 270 degrees?

tan(270°) is undefined.

What is tan 270° in radians?

270° = 3π/2 radians, so tan(270°) = tan(3π/2) = undefined.

Why does my calculator show a different answer for tan 270?

It is most likely set to radians. Switch to degree (DEG) mode before entering the angle.

Is tan 270° positive or negative?

Neither: the value is undefined.

Is there an online scientific calculator I can use for this?

Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.

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