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13.3a – Evaluate Trig Functions of Degrees +# –# ***Left and down are negative lengths. The hypotenuse is always positive. 1. Evaluate the six trig functions of , given the terminal point. 13 5 (5, 12) 12 12 sin = 13 13 csc = 12 cos = 5 13 sec = 13 5 tan = 12 5 5 cot = 12 . c2 = a2 + b2 c2 = 52 + 122 c2 = 169 c = 13 . 1. Evaluate the six trig functions of , given the terminal point. 4 5 4 –8 c2 = a2 + b2 c2 = (-8)2 + (4)2 c2 = 80 c4 5 (–8, 4) sin = cos = 4 4 5 5 5 csc = 5 8 2 5 sec = 5 4 5 2 5 tan = – 4 8 . cot = – 2 2. Sketch the angle. Then find its reference angle. 210° 30° 2. Sketch the angle. Then find its reference angle. -260° 10° 2. Sketch the angle. Then find its reference angle. 690° 30° 3. Make a sketch of the angle, find its reference angle, then evaluate the function without a calculator. sin 120° = 3 2 60° –1 3 2 3. Make a sketch of the angle, find its reference angle, then evaluate the function without a calculator. cos -315°= 2 1 45° 1 2 2 3. Make a sketch of the angle, find its reference angle, then evaluate the function without a calculator. 1 1 csc 240° = = 3 2 sin 240° . –1 60° 3 2 2 2 3 3 3 3. Make a sketch of the angle, find its reference angle, then evaluate the function without a calculator. sec 675° = . 2 1 45° 2 1 = 1 cos 675° –1 1 2 3. Make a sketch of the angle, find its reference angle, then evaluate the function without a calculator. 1 1 cot –150 ° = = tan -150° 1 3 . 3 30° –1 2 3