Trigonometry Calculator

Calculate all six trig functions with degrees/radians and unit circle diagram

What is it and how does it work?

A trigonometry calculator computes all six trigonometric functions — sine, cosine, tangent and their reciprocals cosecant, secant and cotangent — for any angle, in degrees or radians, and often shows where that angle sits on the unit circle. Trigonometry links an angle to the ratios of a triangle's sides, and those ratios turn up everywhere: physics, engineering, graphics, navigation and any problem involving angles or waves. Rather than reach for a memorised value or a full scientific calculator, this gives every function for an angle at once.

The detail that causes the most errors is the unit: an angle of 30 means something completely different in degrees than in radians, and using the wrong mode is the classic trigonometry mistake. This calculator makes the active mode explicit and lets you switch, and the unit-circle view connects the abstract numbers to a picture — showing why, for example, the sine of 30° is exactly 0.5. Everything is computed in your browser for an instant, exact result.

Common use cases

• Solving a triangle or physics problem: get the sine, cosine or tangent of an angle as part of a larger calculation.
• Checking a value: confirm an exact result like sin(30°) = 0.5 or cos(60°) = 0.5 against the unit circle.
• Switching units: compute the functions in degrees or radians depending on what your problem or formula uses.

Frequently asked questions

What is the difference between degrees and radians?

They are two ways to measure angles. A full circle is 360 degrees or 2π radians, so the same angle has two numbers. Degrees are common in everyday and geometry contexts; radians are standard in higher maths and physics. Using the wrong mode gives a completely wrong result.

What are the six trigonometric functions?

Sine, cosine and tangent are the primary three, each a ratio of triangle sides. Cosecant, secant and cotangent are their reciprocals — 1 divided by sine, cosine and tangent respectively. The calculator returns all six so you have whichever a problem needs.

What is the unit circle and why is it shown?

The unit circle is a circle of radius 1 centred at the origin. An angle's cosine and sine are the x and y coordinates of the point where it meets the circle, which is why it visually explains values like sin(90°) = 1. The diagram links the numbers to their geometric meaning.

Why is the tangent of 90° undefined?

Tangent is sine divided by cosine, and the cosine of 90° is zero — division by zero is undefined. This is why tan jumps to infinity around 90° and 270°. A calculator will flag these as undefined rather than returning a misleading number.

Math

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