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Cos 135 Degrees

cos(135°) = -0.70710678, exactly −√2/2.

Answer

cos(135°) = -0.70710678, exactly −√2/2. The angle 135° equals 3π/4 radians (135 × π/180).

Exact form: −√2/2. Decimal: -0.70710678 (rounded to 8 places).

Where 135° sits on the unit circle

135° lies quadrant II. Remember that cosine is positive in quadrants I and IV, and negative in the others, which decides the sign of the answer.

How to calculate cos 135° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press cos.
  3. Type 135.
  4. Press = to get -0.70710678.

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

Cos of common angles

AngleRadiansCos
0°01
30°π/60.866025
45°π/40.707107
60°π/30.5
90°π/20
120°2π/3-0.5
135°3π/4-0.707107
150°5π/6-0.866025
180°π-1
270°3π/20
360°2π1

Frequently Asked Questions

What is cos 135 degrees?

cos(135°) = -0.70710678, exactly −√2/2.

What is cos 135° in radians?

135° = 3π/4 radians, so cos(135°) = cos(3π/4) = -0.70710678.

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

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

Is cos 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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