7.3 Trigonometric Functions of Angles

1. 7.3 Trigonometric Functions of Angles

2. Angle in Standard Position y Distance r from (x, y) to origin always (+) (x, y) r y  x x

3. Memorize!! Six Trig Functions sine cosecant secant cosine tangent cotangent

4. Ex 1) Determine exact values of 6 trig functs of an angle  in stand. pos. if term. side goes through (12, –5) 12  –5 r (12, –5)

5. Signs of Trig Functions y r is always (+) sin  & csc → sign of y cos & sec  → sign of x tan  & cot  → both x & y - same sign → (+) - opp sign → (–) II S A I ( – , + ) ( +, + ) x T C III IV ( + , – ) ( – , – )

6. Ex 2) If cos < 0 and tan  < 0, in which quadrant does  terminate? → x < 0 cos < 0 → x & y have opp. signs tan  < 0 x < 0 → y > 0 → Quadrant II

7. Homework #704 Pg. 406 1 – 7 odd, 17 – 25 odd, 20, 26 & Memorize 6 Trig Functions