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7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y  y x.

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Presentation on theme: "7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y  y x."— Presentation transcript:

1 7.3 Trigonometric Functions of Angles

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

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

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

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

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

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


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