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Sin 105 Degrees

sin(105°) = 0.96592583, exactly (√6 + √2)/4.

Answer

sin(105°) = 0.96592583, exactly (√6 + √2)/4. The angle 105° equals 7π/12 radians (105 × π/180).

Exact form: (√6 + √2)/4. Decimal: 0.96592583 (rounded to 8 places).

Where 105° sits on the unit circle

105° lies quadrant II. Remember that sine is positive in quadrants I and II, and negative in the others, which decides the sign of the answer.

How to calculate sin 105° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  3. Type 105.
  4. Press = to get 0.96592583.

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

Sin of common angles

AngleRadiansSin
0°00
30°π/60.5
45°π/40.707107
60°π/30.866025
90°π/21
120°2π/30.866025
135°3π/40.707107
150°5π/60.5
180°π0
270°3π/2-1
360°2π0

Frequently Asked Questions

What is sin 105 degrees?

sin(105°) = 0.96592583, exactly (√6 + √2)/4.

What is sin 105° in radians?

105° = 7π/12 radians, so sin(105°) = sin(7π/12) = 0.96592583.

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

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

Is sin 105° 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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