Trigonometry Calculator

Sin, cos, tan, solve triangles, inverse trig & reference — all in one place

Current: 45.0000° = 0.7854 rad

0.707107+
0.707107+
1.000000+
1.414213
1.414213
1.000000
Quadrant Q1
Reference Angle45.0000°
Signs (sin / cos / tan) + / + / +

What is Trigonometry Calculator?

A trigonometry calculator is an educational and professional tool that computes sine, cosine, tangent, and all six trigonometric functions for any angle, along with their inverse functions. Whether you are a student working through homework or an engineer checking a calculation, this tool gives you instant, accurate results without reaching for a textbook.

You can enter angles in degrees or radians and see the full set of trig values — sin, cos, tan, csc, sec, and cot — all at once. The calculator also handles triangle solving: give it any combination of sides and angles satisfying the conditions for a unique solution, and it will compute all missing values using the law of sines and law of cosines.

A built-in identity reference panel lists the most commonly used trigonometric identities, including Pythagorean identities, double-angle formulas, sum and difference formulas, and reciprocal relationships. This makes the tool useful not just for computation but also as a study aid.

The calculator is particularly helpful for physics problems involving waves and oscillations, navigation and bearing calculations, engineering geometry, computer graphics transformations, and any STEM coursework that relies on angle-based mathematics. All calculations run in your browser with no server required.

How to Use Trigonometry Calculator

  1. Enter your angle

    Type any angle value and choose whether it is in degrees or radians. The calculator accepts decimals and negative values.

  2. View all trig values

    See sin, cos, tan, csc, sec, and cot computed instantly for your angle, along with inverse function values.

  3. Solve a triangle

    Switch to the triangle solver, enter the sides and angles you know, and compute all missing values.

  4. Browse identity reference

    Open the identity panel to look up Pythagorean identities, double-angle formulas, and more.

Key Benefits

Instant results

All six trig functions computed simultaneously the moment you type an angle — no submit button needed.

Degrees and radians

Switch freely between degrees and radians without recalculating manually.

Full triangle solver

Solve any valid triangle from any combination of known sides and angles using standard trigonometric laws.

Identity reference

Built-in cheat sheet of key trig identities saves time searching through textbooks during study sessions.

Frequently Asked Questions

The calculator computes all six primary functions: sine, cosine, tangent, cosecant, secant, and cotangent, plus their inverses (arcsin, arccos, arctan).

Yes. The calculator handles any angle, including values greater than 360 degrees or less than 0, by applying the standard periodicity of each function.

You need at least three pieces of information, with at least one being a side length. The tool supports SSS, SAS, ASA, AAS, and SSA (with ambiguous case handling).

The tangent function is undefined at 90 degrees (and 270 degrees) because it equals sin divided by cos, and cos of 90 degrees is zero. This is mathematically correct behaviour.

Related Tools

How to Use This Trigonometry Calculator

Trig Values Tab

Enter any angle in degrees or radians. Get sin, cos, tan, csc, sec and cot instantly. Use the quick buttons for common special angles.

Solve Triangle Tab

Pick a mode (SSS, SAS, ASA, or AAS), enter the known values, and the calculator finds all remaining sides and angles using the Law of Sines and Cosines.

Inverse Trig Tab

Calculate arcsin, arccos, and arctan for any valid input. Results shown in both degrees and radians (principal value range).

Reference Tab

View the CAST diagram for quadrant signs, the exact values for all 11 special angles, and 12+ grouped trigonometric identities for exam preparation.