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This guide covers the use of sum and difference identities to find exact values of trigonometric ratios for angles that are not special angles (like 0°, 30°, 45°, etc.). It includes step-by-step instructions on finding values such as cos(15°), cos(75°), and cos(120°) using formulas from your reference sheet. Additionally, it explores finding sin(15°) and provides examples for sin(x-y) and cos(x-y) calculations. Make sure you're comfortable with radian notation and have a unit circle handy.
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Sum and Difference formulas • If you are asked to find the EXACT VALUE of a trigonometric ratio for an angle that is NOT one of the “special angles” on your circle (ie. 0, 30, 45, 60, 90, etc.) you MUST use one of the formulas summarized on page 439-441 and on your formula sheet.
You have got to be familiar with radian notation. Make sure you have your unit circle with all radian angle measures written with the common denominator of 12.