AI Trigonometry Solver
Right triangles, identities, the sine and cosine rules, and equations on an interval — screenshot the problem and get the full worked solution.
Try for free- Works on any screenshot — textbook, PDF, or worksheet
- Full step-by-step solutions, not just the final answer
- Free to start — no account needed
- 1The unknown is the opposite side over the hypotenuse, so sine is the right ratio.
- 2Multiply both sides by : .
- 3Since , .
Pick your trigonometry topic
Each topic page has formulas, worked examples, practice problems, and the mistakes to avoid.
SOHCAHTOA for missing sides and inverse functions for missing angles, including elevation and depression.
Trig IdentitiesThe full identity toolkit plus a reliable strategy for verifying an identity one side at a time.
Law of Sines and CosinesSolve non-right triangles from AAS, ASA, SSA, SAS or SSS — including the ambiguous case.
Trigonometric EquationsEvery solution in the interval, not just the first — reference angles, quadrants, and quadratic forms.
What this trigonometry solver covers
Trigonometry starts as a question about triangles and turns into a language for anything that repeats. The three ratios — sine, cosine and tangent — begin as side comparisons in a right triangle, then extend to the unit circle, where they become functions defined for any angle at all and start describing waves, oscillation, and circular motion.
This solver covers the standard course: right-triangle trigonometry with SOHCAHTOA and inverse functions for missing angles, the fundamental and Pythagorean identities used to simplify and verify expressions, the law of sines and the law of cosines for triangles with no right angle (including the ambiguous SSA case), and trigonometric equations solved across a given interval.
For each problem it shows the working a teacher expects: which ratio or rule applies and why, the substitution, the algebra, and — for equations — every solution in the required range with the correct units, degrees or radians as the question demands. Pick a topic below for formulas, worked examples, and practice problems, or install the extension and screenshot the exact question in front of you.
See it solve real trigonometry problems
One from each corner of the subject — pick a problem to see its full solution.
- 1The unknown is the opposite side over the hypotenuse, so sine is the right ratio.
- 2Multiply both sides by : .
- 3Since , .
- 1The two legs are known, so use the inverse tangent to recover the angle.
- 2.
- 3 — check the calculator is in degree mode.
- 1The first two terms collapse by the Pythagorean identity: .
- 2That leaves .
- 3Which is itself an identity: the expression equals .
- 1Two sides and the angle between them means the law of cosines: .
- 2Substitute: .
- 3.
- 1Isolate the ratio: .
- 2The reference angle is , and sine is positive in quadrants I and II.
- 3Both solutions in range: and .
Try it on your own trigonometry homework
Photo Math Solver reads trigonometry problems straight off your screen — the labelled triangle in a worksheet PDF, the identity to verify in an online quiz, the equation with a restricted interval in a photographed textbook — and returns the full step-by-step solution in seconds. It picks the right ratio or rule, keeps degrees and radians straight, and finds every solution in the interval rather than just the first one.
