Why is the 90° tangent not defined?

The tangent of a 90 degree angle does not exist because the cosine of this angle is zero, and division by zero is impossible.

Does the calculator work with angles greater than 360 degrees?

Yes, the calculator takes into account the periodicity of trigonometric functions and correctly handles any values, such as 720° or 1000°.

What is the difference between degrees and radians?

These are different units of angle. A full circle is equal to 360 degrees or 2π radians. The calculator has a switch to work in either of these systems.

Trigonometric calculator

Instant calculation of sine, cosine, tangent and cotangent

Angle value

Enter the left angle
to get results

Results:

Sin (Sine)

Cos (Cosine)

Tan (Tangent)

Cot (Cotangent)

Sine, cosine, tangent and cotangent calculator

📐 Instant calculation of sine, cosine, tangent and cotangent

This tool allows you to find the values of trigonometric functions for any angle. Supports input in both degrees (deg) and radians (rad).

🚀 How to use:

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Enter the angle (for example, 30, 45, 90).
Select a unit of measurement.
The calculator will immediately show the values of all four functions (sin, cos, tg, ctg).

Where is this useful?

Trigonometry is needed not only in school, but also in real problems:

Construction: Calculation of roof slopes or design of convenient rises. By the way, for a detailed calculation of steps, we recommend our specialized staircase calculator.
Geometry and Physics: Solving problems with triangles, calculating vectors and forces.
Graphs: If you need not just to find out a number, but to see how a function behaves on a graph, use the function building tool.

💡 Cheat Sheet: Basic Angles

Values that are useful to remember (or quickly check here):

Angle	Sin	Cos	Tan
30°	0.5	0.866	0.577
45°	0.707	0.707	1
60°	0.866	0.5	1.732

Frequently asked questions (FAQ)

🔹 Why is the tangent of 90° not detected?

Tangent is the ratio of sine to cosine (sin/cos). At an angle of 90°, the cosine is zero. You cannot divide by zero, so the value goes to infinity (undefined).

🔹 How does the calculator calculate angles greater than 360°?

Due to the periodicity of functions, sin(390°) is the same as sin(30°). The calculator automatically discards extra circles and produces the correct result.

🔹 Is it possible to enter negative numbers?

Yes. A negative angle means clockwise rotation. The calculator takes into account the signs of functions depending on which quarter the angle falls into.