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Trigonometry Worksheet: Circular Functions 1) Angles in Standard Position: a) Draw an angle in standard position that would measure about 135°. (Estimate the measure of the angle.) b) On the diagram, label the following items: A - Initial Side B - Terminal Side C - Vertex of the Angle c) Draw a point somewhere on the terminal side, label it (x, y). 2) Six Trig Functions: Write the definition of each of the six trig functions in terms of x, y and r: a) b) c) d) e) f) sin i cos i tan i sec i csc i cot i 3) If the terminal side of an angle, i , goes through the point, (1, 2), evaluate the six trig functions: a) b) c) d) e) f) sin i cos i tan i sec i csc i cot i 4) If the terminal side of an angle, i , goes through the point, (-8, 15), evaluate the six trig functions: a) b) c) d) e) f) sin i cos i tan i sec i csc i cot i 5) If the terminal side of an angle, i , goes through the point, (-3, -4), evaluate the six trig functions: a) b) c) d) e) f) sin i cos i tan i sec i csc i cot i 6) If the terminal side of an angle, i , goes through the point, (5, -12), evaluate the six trig functions: a) b) c) d) e) f) sin i cos i tan i sec i csc i cot i 7) Looking at your answers to #3 - 6, fill in the following table, stating whether the trig values were positive or negative in each of the quadrants. In problem #3, the point (1, 2) is in Quadrant I. The sin i was positive. For all angles terminating in QI, sin i will be positive, because y and r are both positive in QI. sin Quad I (#3) Quad II (#4) Quad III (#5) Quad IV (#6) + cos tan csc sec cot