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Cos 75 Degrees

cos(75°) = 0.25881905, exactly (√6 − √2)/4.

Answer

cos(75°) = 0.25881905, exactly (√6 − √2)/4. The angle 75° equals 5π/12 radians (75 × π/180).

Exact form: (√6 − √2)/4. Decimal: 0.25881905 (rounded to 8 places).

Where 75° sits on the unit circle

75° lies quadrant I. 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 75° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press cos.
  3. Type 75.
  4. Press = to get 0.25881905.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 5π/12 instead of 75.

Quick results

sin 75°= 0.96592583
cos 75°= 0.25881905
tan 75°= 3.73205081

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 75 degrees?

cos(75°) = 0.25881905, exactly (√6 − √2)/4.

What is cos 75° in radians?

75° = 5π/12 radians, so cos(75°) = cos(5π/12) = 0.25881905.

Why does my calculator show a different answer for cos 75?

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

Is cos 75° positive or negative?

Positive.

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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