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Name:______________________________________________________________ Date:_________________________ Period:_______ Chapter 8: Basic Trigonometry Topic 5: Reference Angles Associated with every angle drawn in standard position (except quadrantal angles) there is another angle called the ___________________ angle. The reference angle is the acute angle formed by the _______________ side of the given angle and the ______________. Reference angles may appear in all four quadrants. Angles in quadrant I are their own reference angles. REMEMBER: The reference angle is measures from the terminal side of the original “to” the x-axis. (NEVER the y-axis). Sometimes we are asked to express a function of an angle that is greater than 90° as a function of a positive acute angle (an angle greater than 0 but less than 90). We will use reference angles to accomplish this. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. (never the y-axis) Reference Angle Summary Sketch in the appropriate quadrant. Find the reference angle & state whether the sin, cos & tan is positive or negative. 1) 140⁰ 2) 290⁰ 3) 225⁰ 4) -340⁰ 5) 560⁰ 6) -760⁰