Graphing Sine & Cosine Functions – Algebra 2 Worksheet + Answer Key

Graphing Sine & Cosine Functions – Algebra 2 Worksheet + Answer Key | CCSS HSF.TF.B.5 Aligned

This comprehensive Algebra 2 worksheet is designed to help students master graphing sine and cosine functions through structured practice and real-world application. Aligned to Common Core Standard HSF.TF.B.5, this resource focuses on modeling periodic phenomena using trigonometric functions with specified amplitude, frequency, and midline.

Ideal for in-class assignments, homework, assessments, or sub plans, this worksheet is scaffolded for student success and built to last 90–120 minutes. A complete answer key is included for fast grading or guided review.

This resource is also 100% editable, allowing you to customize content, language, or difficulty to meet the needs of your classroom.

What’s Included:

Part A: Warm-Up & Vocabulary Review

• 7 key trigonometric terms clearly defined (amplitude, period, phase shift, etc.)
• 5 prerequisite questions reviewing radians, degrees, and sine/cosine parent functions

Part B: Identifying Graph Features (10 Problems)

• Students determine amplitude, period, midline, and phase shift from sine and cosine equations

Part C: Sketching Graphs (10 Problems)

• Students graph each function for one full period with labeled intercepts, max/min, and midline

Part D: Writing Equations from Descriptions (10 Problems)

• Students write sine or cosine equations based on given transformations and graph characteristics

Part E: Real-World Modeling Applications (10 Problems)

• Realistic scenarios including Ferris wheels, tides, voltage, and body temperature modeling

Part F: Mixed Practice Review (10 Problems)

• Challenging review problems on transformations, modeling, and function analysis

Answer Key

• Full, clearly written solutions for every problem

Editable Format for Teacher Flexibility

This worksheet is provided in an editable document format so you can adjust problems, add supports, change wording, or modify layouts to fit your teaching needs. Easily adapt for differentiated instruction, assessments, or remote learning.

Standards Alignment

• Common Core: HSF.TF.B.5
• Supports high school Algebra 2 units on trigonometric functions, transformations, and periodic modeling
• Ideal for building conceptual understanding and procedural fluency

Recommended Use:

• Algebra 2 Trigonometry Units
• Classwork or Homework
• Skills Practice
• Test Prep and Spiral Review
• Sub Plans or Distance Learning

Provide your students with structured, challenging, and relevant practice that connects trigonometric functions to real-world contexts.

This ready-to-use resource will save you hours of prep and strengthen your students' understanding of sine and cosine graphs.

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!