Trigonometry intermediate

Trigonometry Practice Worksheet

25 trigonometry practice problems with answers — from basic ratios and right triangle solving to unit circle values and identities.

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What’s Included

This worksheet covers five types of trigonometry problems:

  1. Basic Trig Ratios (Problems 1–5)

    • Finding sine, cosine, and tangent from triangle side lengths
    • Identifying which ratio to use

  2. Finding Missing Sides (Problems 6–10)

    • Using a known angle and side to calculate unknown sides
    • Real-world contexts: ladders, ramps, shadows

  3. Finding Missing Angles (Problems 11–15)

    • Using inverse trig functions (arcsin, arccos, arctan)
    • Practical scenarios: roof pitch, conduit bends

  4. Unit Circle and Special Angles (Problems 16–20)

    • Exact values from memory (sin 30°, cos 45°, etc.)
    • Radian-degree conversions
    • Quadrant sign identification

  5. Trig Identities (Problems 21–25)

    • Simplifying expressions using Pythagorean identity
    • Verifying identities
    • Using reciprocal and quotient identities

How to Use

  • Work through each section in order, or jump to the section you need to practice
  • Show your work for full credit
  • Answers with step-by-step solutions are on page 2
  • Use our trig topic pages to review concepts you find challenging