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Tan 315 Degrees

tan(315°) = -1, exactly −1.

Answer

tan(315°) = -1, exactly −1. The angle 315° equals 7π/4 radians (315 × π/180).

Exact form: −1. Decimal: -1 (rounded to 8 places).

Where 315° sits on the unit circle

315° lies quadrant IV. Remember that tangent is positive in quadrants I and III, and negative in the others, which decides the sign of the answer.

How to calculate tan 315° on a scientific calculator

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

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

Tan of common angles

AngleRadiansTan
0°00
30°π/60.57735
45°π/41
60°π/31.732051
90°π/2undefined
120°2π/3-1.732051
135°3π/4-1
150°5π/6-0.57735
180°π0
270°3π/2undefined
360°2π0

Frequently Asked Questions

What is tan 315 degrees?

tan(315°) = -1, exactly −1.

What is tan 315° in radians?

315° = 7π/4 radians, so tan(315°) = tan(7π/4) = -1.

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

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

Is tan 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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