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# Alg2 lesson 13-3

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### Alg2 lesson 13-3

1. 1. Find the exact values of the six trigonometricfunctions of  if the terminal side of  contains the point (8, –15).<br />8<br />-15<br />r<br />(8, -15)<br />Example 3-1a<br />
2. 2. 8<br />-15<br />17<br />
3. 3. x<br />y<br />r<br />(x, y)<br />
4. 4. (-3, 4)<br />Find the exact values of the six trigonometricfunctions of  if the terminal side of  contains the point (–3, 4).<br />5<br />4<br />-3<br />x = -3<br />y = 4<br />r = 5<br />= 5<br />4<br />3<br />Example 3-1b<br />
5. 5. Sketch 330. Then find its reference angle.<br />330 = 180 + 150<br /> = 180 + 90 + 60<br />The reference angle is 360 –330 or 30.<br />Example 3-3a<br />
6. 6. Sketch . Then find its reference angle.<br />The reference angle is <br />Example 3-3a<br />
7. 7. In which quadrants is each trig function positive?<br />sin<br />sin<br />pos<br />ALL<br />cos<br />tan<br />pos<br />(pos, pos)<br />(neg, pos)<br />pos<br />(pos, neg)<br />(neg, neg)<br />cos<br />tan<br />pos<br />pos<br />neg<br />pos<br />neg<br />r is always positive<br />
8. 8. Find the exact value of .<br />135 = 90 + 45<br />A<br />S<br />T<br />C<br />Example 3-4a<br />
9. 9. Find the exact value of .<br />135 = 90 + 45<br />pos<br />pos<br />Example 3-4a<br />
10. 10. Find the exact value of <br />A<br />S<br /><br />=<br />T<br />C<br />Example 3-4a<br />
11. 11. Suppose is an angle in standard position whoseterminal side is in Quadrant III and <br />Find the exact values of the remaining five <br />Trigonometric functions of .<br />hyp<br />opp<br />-4<br />-3<br />5<br />Example 3-5a<br />
12. 12. =<br />hyp<br />opp<br />-4<br />-3<br />5<br />Example 3-5a<br />