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Name: ___________________________ Notes: The Unit Circle, Special Right Triangles, Ordered Pairs Objective: To use special right triangles to deduce the ordered pairs for points on the unit circle. For the Unit Circle: 1. Label each angle with its radian measure. 2. Label each point on the unit circle with its exact ordered pair. (See hint below) Hint: Questions: 1) For Quadrant 1, which trig functions are positive? 2) For Quadrant 2, which trig functions are positive? 3) For Quadrant 3, which trig functions are positive? 4) For Quadrant 4, which trig functions are positive? Assignment: Find the exact value of each trig function for the given angle. Reduce fractions and rationalize. When the angle is greater than 360 or 2, find the coterminal angle that fits within one rotation of the circle. t Sin t /6 /4 /3 - / 6 - / 4 2/3 5/4 5 / 6 8 / 3 30 60 45 90 210 330 225 300 240 /2 7 / 6 4 / 3 5 / 3 11 / 6 2 3 /2 - / 3 330 -60 765 -225 -390 585 -315 660 1125 90 3 / 2 3 8 540 7 / 2 5 / 2 -2160 Cos t Tan t t Sin t Cos t Tan t t Sin t Cos t Tan t t Sin t Cos t Tan t t Sin t Cos t Tan t