From ratios to periodic functions

Trigonometry worksheets

Connect right-triangle ratios and exact unit-circle values to graphs, identities and equations. Print focused practice with space to work and a separate answer key.

Check angle units, domain restrictions and the stated solution interval before beginning.

Start with the foundations

Ratios and exact values

Use right-triangle practice to establish sine, cosine and tangent. Move to the unit circle to extend those ratios to other quadrants.

Build the next connections

Graphs, identities and equations

Sketch transformed sine and cosine functions, justify basic identity steps, and find all exact solutions in a specified interval. Each activity provides configurable practice and Letter/A4 editions.

First page preview: Sine and Cosine Graphs worksheets

Trigonometry

Sine and Cosine Graphs worksheets

Graph transformed sine and cosine functions or write one valid equation from a graph, using exact radians or degrees.

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Printable basic trigonometric identities worksheets preview

Trigonometry

Basic Trigonometric Identities worksheets

Simplify and verify finite reciprocal, quotient, and Pythagorean identity recipes with the original-domain restrictions made explicit.

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Beyond right triangles

Laws of sines and cosines

Choose the law from the given sides and angles. Check whether SSA data gives zero, one or two triangles, and retain calculator precision until the final answer.

Printable law of sines worksheets preview

Trigonometry

Law of Sines worksheets

Solve AAS, ASA, and ambiguous SSA triangles, including cases with zero, one, or two valid solutions.

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Printable law of cosines worksheets preview

Trigonometry

Law of Cosines worksheets

Find a missing side from SAS data or a missing angle from SSS data, with acute and obtuse examples.

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Place trigonometry in a wider learning path

Combine these worksheets with function operations, exponential and logarithmic relationships, sequences and graph analysis.

Follow the Precalculus path →