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Tan 135 Degrees

tan(135°) = -1, exactly −1.

Answer

tan(135°) = -1, exactly −1. The angle 135° equals 3π/4 radians (135 × π/180).

Exact form: −1. Decimal: -1 (rounded to 8 places).

Where 135° sits on the unit circle

135° lies quadrant II. 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 135° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 135.
  4. Press = to get -1.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 3π/4 instead of 135.

Quick results

sin 135°= 0.70710678
cos 135°= -0.70710678
tan 135°= -1

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 135 degrees?

tan(135°) = -1, exactly −1.

What is tan 135° in radians?

135° = 3π/4 radians, so tan(135°) = tan(3π/4) = -1.

Why does my calculator show a different answer for tan 135?

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

Is tan 135° positive or negative?

Negative.

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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