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Prepare for your Pre-Calculus exam with our comprehensive review focused on Chapter 10 topics. This guide covers key concepts such as Sum and Difference Formulas, Trigonometric functions (sine, cosine, tangent), amplitude, period, vertical and phase shifts, along with necessary identities and their applications. You'll find strategies for simplifying expressions, finding exact and approximate values, and utilizing reciprocal and quotient identities. Remember not to divide by certain trigonometric functions and always verify your solutions for accuracy!
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Chapter 10 Final Exam Review THE BEST CLASS EVER…ERRR…. PRE-CALCULUS
What was Chapter 10 about? • Sum and Difference Formulas • Amplitude • Period • Vertical Shift • Phase Shift
Multiply by the conjugate of the denominator DISTRIBUTE Combine like terms reduce
What was Chapter 10 about? • Graphing Trig Functions • Simplify Expressions • Find Exact Values • Find Approx Values • Complex Trig Identities • Simplifying • Solving
RECIPROCAL IDENTITIES QUOTIENT IDENTITIES PYTHAGOREAN IDENTITIES Note It may be necessary to recognize alternative forms of the identities above, such as sin² =1 – cos² and cos² =1 – sin² .
Strategies • Recall… • Algebra 2 Solving Methods • Factoring GCFs • Factoring Patterns • Isolating Variable Techniques • Etc. WARNING!!!!! • Do not divide by sin, cos, tan, sec, csc or cot! You may lose answers. • Theses are NOT one-size-fits-all problems. • Always check your solutions
1. Apply Cosine Sum Formula. 2. Apply Appropriate Pythagorean Identity.
3. Use algebra techniques to simplify. 4. Find the angle measures using the unit circle.