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# Pc 4.4 notes Trig of any angle

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Some notes on why trig values are positive or negative depending on the quadrant.

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### Pc 4.4 notes Trig of any angle

1. 1. PC 4.4 Notes 10/12-13/2010 4.4: Trigonometric Functions of Any Angle Find the sine, cosine, and tangent of the following angles and determine what quadrant they terminate in. Angle Quadrant sin cos tan 130° II 0.766 –0.643 –1.192 290° IV –0.940 0.342 –2.747 5π/4 III –0.707 –0.707 1 2π/9 I 0.643 0.766 0.839 Fjelstrom
2. 2. PC 4.4 Notes 10/12-13/2010 Fjelstrom
3. 3. PC 4.4 Notes 10/12-13/2010 Remember that… All Students Take Calculus Fjelstrom
4. 4. PC 4.4 Notes 10/12-13/2010 Ex. 1) (–2, 3) is a point on the terminal side of ϴ. Find the six trigonometric functions for ϴ. Fjelstrom
5. 5. PC 4.4 Notes 10/12-13/2010 Ex. 2) sin ϴ = 4/5 and tan ϴ < 0. Find cos ϴ. Fjelstrom
6. 6. PC 4.4 Notes 10/12-13/2010 Ex. 3) tan ϴ = 5/6 and sin ϴ < 0. Find sec ϴ. Fjelstrom
7. 7. PC 4.4 Notes 10/12-13/2010 The one-handed trick… When evaluating trig functions: Step 1) Find the trig function for the reference angle Step 2) Determine the sign (+ or -) for the value based on the terminating quadrant. More info at http://function-of-time.blogspot.com/2009/08/trig-reference-angle- cheat-hand.html Fjelstrom
8. 8. PC 4.4 Notes 10/12-13/2010 Ex. 5) Evaluate without a calculator. (BM 10) Fjelstrom
9. 9. PC 4.4 Notes 10/12-13/2010 Going Backwards… Ex. 6) Find the value(s) for ϴ that make the statement true. (BM 11) Fjelstrom
10. 10. PC 4.4 Notes 10/12-13/2010 Assignment: #16 p. 318 #1, 5, 7, 11, 14, 17-23 (odd), 29-57 (odd), 61, 62, 81-85 (odd) Fjelstrom
11. 11. PC 4.4 Notes 10/12-13/2010 Fjelstrom
12. 12. PC 4.4 Notes 10/12-13/2010 Fjelstrom