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August 30, 2016 Section 5.3: Trigonometric Functions on the Coordinate Plane (x, y) "point (x, y) lies on terminal side" means: y = opposite side x = adjacent side Label the sides hypotenuse (h), x or y. Then state if the sine, cosine, and tangent ratios will be positive or negative in the given quadrant. Quad I sin cos tan (x, y) Quad III Quad II (x, y) Quad IV sin cos tan sin cos tan (x, y) PreCalculus sin cos tan (x, y) August 30, 2016 All Students Take Calculus S A T C Tells you which function should be positive in each quadrant I. Given a point on the terminal side *graph the point *draw a triangle from the point *label the two lengths you know (with appropriate signs) *find missing side length (hypotenuse) *use the reference angle to state the functions 1. Find the value of the six trigonometric functions for an angle θ in standard position if a point with coordinate (5, 12) lies on its terminal side. PreCalculus August 30, 2016 2.) Find the value of the six trigonometric functions for an angle θ in standard position if a point with coordinate (3, 1) lies on its terminal side. II. Given 1 trig. function & the quadrant the terminal side is in. *sketch the terminal side *draw the reference right triangle *label the sides you know based on the given function *find the missing side * use the reference angle to state the functions 3. Suppose θ is an angle in standard position whose terminal side lies in Quadrant II. If sec θ = √29/5, find the values of the remaining five trigonometric functions. PreCalculus