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Lesson 2 – Radian Measure and Angles on the Cartesian Plane STANDARD POSITION An angle is in standard position when its vertex is at the origin (0,0) and the initial arm lies on the POSITIVE x-axis. The angle measure the origin. indicates the amount of rotation of the terminal arm about counterclockwise rotation (+) angle measure clockwise rotation (-) angle measure Coterminal angles are angles which share the SAME terminal arm. The related acute angle is the acute angle between the terminal arm and the x-axis. = 1200 SPECIAL TRIANGLES IN RADIANS CAST Cast rule is an easy way to remember which primary Trigonometric ratios are positive in which quadrant Since r is always positive, the sign of each primary trig ratio depends on the signs of the coordinate point. I II III S A T C IV Examples 1. Determine the exact value of each trigonometric ratio: a) b) c) 2. If , where , determine the exact value of . 3. If , where , evaluate to the nearest hundredth.