Algebra 2 Trigonometry: Sum and Difference Identities Mega Worksheet
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description: Algebra 2 Trigonometry: Sum and Difference Identities Mega Worksheet Editable | CCSS HSF.TF.C.9 Aligned | Includes Answer Key This comprehensive Algebra 2 worksheet is designed to help students build mastery with trigonometric sum and difference identities through structured, scaffolded practice. Aligned to Common Core State Standard HSF.TF.C.9, this resource is ideal for reinforcing the addition and subtraction formulas for sine, cosine, and tangent, as well as applying them to solve real-world and higher-order problems. All materials are 100% editable in Microsoft Word and Google Docs, allowing you to easily customize the content to fit your classroom needs, differentiation strategies, or pacing plans. Standards Alignment: HSF.TF.C.9 – Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems. What’s Included: This printable and digital-ready worksheet provides 90–120 minutes of content, making it ideal for classwork, homework, stations, sub plans, or review. Fully editable and designed for both rigor and accessibility, the worksheet is divided into clearly labeled sections: Part A: Warm-Up & Vocabulary Review (10 items) Student-friendly definitions of key terms: sine, cosine, tangent, unit circle, angle sum, reference angle, etc. Pre-requisite questions reviewing angle values, quadrant signs, and Pythagorean identities Part B: Applying the Sum and Difference Formulas (10 problems) Evaluate expressions like sin(75°), cos(15°), and tan(105°) using the appropriate identities Focus on exact values with special angles and radicals Part C: Angle Decomposition (10 problems) Break down angles into sums or differences of special angles Practice applying identities in unfamiliar contexts Part D: Simplifying Expressions with Identities (10 problems) Symbolic expressions involving sin(x+π/3), cos(π/4−x), tan(x−π/6), etc. Builds fluency with variables and generalization of identities Part E: Real-World Application Problems (10 pr…
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