Trigonometry Calculator

Report an Issue

Help us improve by telling us what went wrong.

Embed this Tool

Customize and copy the embed code for your website.

Sine, Cosine, Tangent - Solved Instantly

Trigonometry is one of those subjects that sits at the intersection of geometry, physics, engineering, and everyday problem-solving. The Trigonometry Calculator lets you compute trigonometric functions, solve triangles, and convert between degrees and radians without pulling out a textbook or wrestling with a scientific calculator's tiny buttons.

What the Calculator Does

At its core, this tool computes the six standard trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. Enter an angle in degrees or radians, and all six values appear instantly. Need the inverse? Enter a ratio and get the angle back via arcsin, arccos, or arctan.

Beyond individual function values, the calculator can solve right triangles. Give it two known sides or one side and one angle, and it computes the remaining sides and angles using the Pythagorean theorem and standard trig relationships.

Practical Applications You Might Not Expect

Construction and carpentry rely on trigonometry more than most people realise. Calculating roof pitch, staircase angles, rafter lengths, and diagonal bracing all require trig functions. A carpenter figuring out how long a rafter needs to be for a 30-degree roof angle on a 4-metre span is doing trigonometry whether they call it that or not.

Navigation and surveying use triangulation extensively. Determining distances between landmarks, calculating GPS coordinates, and mapping terrain all depend on trigonometric relationships.

Physics problems involving projectile motion, wave functions, pendulums, and force decomposition all require sine and cosine calculations. A student analysing the trajectory of a ball launched at 45 degrees needs this tool every step of the way.

Game development and computer graphics use trigonometry for rotations, camera angles, physics simulations, and procedural generation. If you have ever wondered how a game character's shadow moves with the sun, the answer involves a lot of cosine calculations.

Electrical engineering models alternating current as a sine wave. Phase angles, impedance calculations, and signal processing all lean heavily on trig.

Degrees vs. Radians - Which Should You Use?

Degrees are intuitive for everyday use: a right angle is 90 degrees, a full circle is 360. Radians are the mathematical standard: a right angle is pi/2, a full circle is 2*pi. The trigonometry calculator supports both and converts between them seamlessly.

If you are a student, use whichever unit your course expects. If you are a programmer, most programming languages use radians internally. If you are in construction, you almost certainly want degrees. The tool does not force a choice - switch freely.

Common Angles Worth Memorising

Certain angles come up so frequently that knowing their sine and cosine by heart speeds up your work: sin(30) = 0.5, cos(60) = 0.5, sin(45) = cos(45) = roughly 0.707, and tan(45) = 1. The calculator verifies these instantly and handles all the non-standard angles that memory cannot cover.

Tips for Students

Use the calculator to check your manual work, not replace it. Work through the problem by hand first, then verify with the tool. This builds the understanding that exams require while avoiding the frustration of carrying errors through multi-step problems.

The Trigonometry Calculator processes everything locally in your browser - no internet connection needed after the page loads, no data collected, no sign-up required. Accurate trigonometric computation, available whenever you need it.