Unit Circle & Trig Functions Practice – Algebra 2

This Algebra 2 worksheet offers in-depth practice on trigonometric functions of any angle, with a focus on the unit circle, reference angles, quadrants, and the Pythagorean identity. Designed to align with Common Core Standards HSF.TF.A.2 and HSF.TF.C.8, this resource provides over 60 practice problems and a structured layout that supports both conceptual understanding and procedural fluency.

Common Core Standards Addressed:

• HSF.TF.A.2 – Explain how the unit circle enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles.
• HSF.TF.C.8 – Prove the identity sin²(θ) + cos²(θ) = 1 and use it to find missing values of sin(θ), cos(θ), or tan(θ), given quadrant information.

What's Included:

• Part A: Warm-Up & Key Terms Review – Includes vocabulary definitions and prerequisite angle/radian conversion practice.
• Part B: Coordinates on the Unit Circle – Students find exact coordinates for angles in radians.
• Part C: Evaluate Trigonometric Functions – Exact values using the unit circle and common angle measures.
• Part D: Trigonometric Functions of Any Angle – Determining function values using quadrant signs and reference angles.
• Part E: Using the Pythagorean Identity – Solve for missing trig values based on quadrant and identity.
• Part F: Word Problems & Applications – Real-world and coordinate-based problems using trig functions.

Additional Features:

• Complete Answer Key for quick grading or student review.
• 100% Editable Format – Provided in a fully editable document so you can tailor questions, instructions, or scaffolding to your students' needs.

Use this worksheet for:

• Daily classroom practice
• Homework
• Test or quiz review
• Sub plans
• Independent work
• Interactive notebook content
• Distance learning (compatible with Google Docs)

Whether you're reinforcing core concepts or reviewing for an assessment, this worksheet gives students meaningful, structured practice to master trig functions and the unit circle. Designed to work seamlessly in any Algebra 2 curriculum.

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!