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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  • 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 130II 0.766 0.6431.192 290IV 0.9400.342 2.747 5/4III0.7070.7071 2/9I0.643 0.766 0.839 Fjelstrom

2. PC 4.4 Notes 10/12-13/2010 Fjelstrom 3. PC 4.4 Notes10/12-13/2010Remember that All Students Take Calculus Fjelstrom 4. PC 4.4 Notes 10/12-13/2010 Ex. 1) (2, 3) is a point on the terminal side of . Find the six trigonometric functions for . Fjelstrom 5. PC 4.4 Notes 10/12-13/2010 Ex. 2) sin = 4/5 and tan < 0. Find cos . Fjelstrom 6. PC 4.4 Notes10/12-13/2010Ex. 3) tan = 5/6 and sin < 0. Find sec . Fjelstrom 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.htmlFjelstrom 8. PC 4.4 Notes10/12-13/2010Ex. 5) Evaluate without a calculator. (BM 10) Fjelstrom 9. PC 4.4 Notes 10/12-13/2010 Going Backwards Ex. 6) Find the value(s) for that make the statement true. (BM 11) Fjelstrom 10. PC 4.4 Notes 10/12-13/2010Assignment:#16 p. 318 #1, 5, 7, 11, 14,17-23 (odd), 29-57 (odd), 61,62, 81-85 (odd)Fjelstrom 11. PC 4.4 Notes 10/12-13/2010 Fjelstrom 12. PC 4.4 Notes 10/12-13/2010 Fjelstrom