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Sin 315 Degrees

sin(315°) = -0.70710678, exactly −√2/2.

Answer

sin(315°) = -0.70710678, exactly −√2/2. The angle 315° equals 7π/4 radians (315 × π/180).

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

Where 315° sits on the unit circle

315° lies quadrant IV. 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 315° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  3. Type 315.
  4. Press = to get -0.70710678.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 7π/4 instead of 315.

Quick results

sin 315°= -0.70710678
cos 315°= 0.70710678
tan 315°= -1

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 315 degrees?

sin(315°) = -0.70710678, exactly −√2/2.

What is sin 315° in radians?

315° = 7π/4 radians, so sin(315°) = sin(7π/4) = -0.70710678.

Why does my calculator show a different answer for sin 315?

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

Is sin 315° 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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