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Cos 105 Degrees

cos(105°) = -0.25881905, exactly −((√6 − √2)/4).

Answer

cos(105°) = -0.25881905, exactly −((√6 − √2)/4). The angle 105° equals 7π/12 radians (105 × π/180).

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

Where 105° sits on the unit circle

105° 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 105° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press cos.
  3. Type 105.
  4. Press = to get -0.25881905.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 7π/12 instead of 105.

Quick results

sin 105°= 0.96592583
cos 105°= -0.25881905
tan 105°= -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 105 degrees?

cos(105°) = -0.25881905, exactly −((√6 − √2)/4).

What is cos 105° in radians?

105° = 7π/12 radians, so cos(105°) = cos(7π/12) = -0.25881905.

Why does my calculator show a different answer for cos 105?

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

Is cos 105° 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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