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Tangent calculator

The tangent of an angle, in degrees or radians, plus the sine and cosine it is built from — tan θ = sin θ / cos θ. It flags the undefined values at 90°, 270°… where the cosine is zero and the tangent runs off to infinity.

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The Tangent calculator turns Angle, Unit into tan θ, sin θ, cos θ, instantly and for free. For instance, with Angle = 45 and Unit = Degrees it returns tan θ = 1, sin θ = 0.707 and cos θ = 0.707.

How to use it

  1. Enter your values: Angle, Unit.
  2. Read the result instantly: tan θ, sin θ, cos θ.

Frequently asked questions

How does the Tangent calculator work?

It takes Angle and Unit and derives tan θ, sin θ and cos θ from them. The calculation is live as you type, so the result updates on every change.

Which values does the calculator ask for?

2 values: Angle and Unit. Nothing else is required — no account, no file upload.

What does a typical calculation look like?

With Angle = 45 and Unit = Degrees, the calculator returns tan θ = 1, sin θ = 0.707 and cos θ = 0.707. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

How much does the result change with different inputs?

It moves a lot. Using Angle = 90 and Unit = Radians instead, sin θ goes from 0.707 to 0.894 — which is why it is worth testing a few scenarios rather than trusting a single figure.

Which “Unit” option should I choose?

You can pick between « Degrees » and « Radians ». Each one changes what the calculator works out, so switch and compare — the default is « Degrees ».

What does it give for smaller values?

Scaled down to Angle = 23 and Unit = Degrees, sin θ comes out at 0.391. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Solving a triangle from what you can actually measure, converting between degrees and radians, and checking an identity before using it.

What is the most common mistake?

Leaving the calculator in the wrong angle mode. Degrees and radians differ by a factor of about 57, and the answer is wrong without ever looking wrong.

What is the difference between the Tangent calculator and the Tangent Line to Circle Calculator?

This one returns tan θ and sin θ; the Tangent Line to Circle Calculator returns Result. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Cosine calculator (cos) is the closest one after this: Enter an angle in degrees or radians and get its cosine, along with the secant (1/cos) and the same angle in the other unit. Exact for the common angles.

Further reading

All guides →
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