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Trig Ratios for Angles Greater than 90° terminal arm vertex θ initial arm Standard position: initial arm lies on the positive x-axis and the vertex is at the origin. Principal angle: counterclockwise angle measured from the initial arm to the terminal arm; its value is between 0° and 360°. Related acute angle: acute angle between the terminal arm and the x-axis. Determine the related acute angle in each diagram. 75° 160° 250° 345° → If the terminal arm lies in Quadrant II, the related acute angle is ___________. → If the terminal arm lies in Quadrant III, the related acute angle is ____________. → If the terminal arm lies in Quadrant IV, the related acute angle is ____________. If the angle between the terminal arm and initial arm is 255°, find the related acute angle. The point P(-3, 4) lies on the terminal arm of a principal angle. Determine the primary trigonometric ratios, and the principal angle to the nearest degree. Determine the quadrant(s) in which each trigonometric ratio is positive. sin θ = cos θ = tan θ = Given that cos θ = 3 and tan θ < 0, determine the quadrant in which θ lies. 5 Use the point P(0, 1) to determine the values of the primary trig ratios for 90°. Determine the possible values of θ if csc θ = 2 . 3