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Tan 75 Degrees

tan(75°) = 3.73205081, exactly 2 + √3.

Answer

tan(75°) = 3.73205081, exactly 2 + √3. The angle 75° equals 5π/12 radians (75 × π/180).

Exact form: 2 + √3. Decimal: 3.73205081 (rounded to 8 places).

Where 75° sits on the unit circle

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

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 75.
  4. Press = to get 3.73205081.

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

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 75 degrees?

tan(75°) = 3.73205081, exactly 2 + √3.

What is tan 75° in radians?

75° = 5π/12 radians, so tan(75°) = tan(5π/12) = 3.73205081.

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

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

Is tan 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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