Trigonometry The Coordinate Plane Trig （三角坐标平面三角）.pdf

Trigonometry The Coordinate Plane Trig Functions Background Info You were introduced to three ratios of triangles called the Sine, Cosine, and Tangent. They are shown here y for your reference. y x y sinθ , cosθ , tanθ P (x,y) r r x r There are three reciprocal ratios; y θ r r x cscθ , secθ , cotθ y x y x x Assignment 1. Using the Pythagorean Theorem, find the exact value of all six trig functions if the terminal side of the angle (θ) contains the point P(x,y). Leave your answers in simplified, but improper fractional form. 1. P(3,4) 2. P(-3, 4) 3. P(-9, -12) 4. P( -√3, -1) 5. P (√3, 1) 6. P( 12, -9) 7. P(1, 1) 8. P(-6, 8) 2. Determine whether the sign of the function is positive or negative based upon the quadrant it is located in and then complete a table like this: Trig Functions their signs Quadrant I Quadrant II Quadrant Quadrant III IV x y r x y r x y r x y r + + + - +