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 You have all of class to work on your trigonometric function graphs.  Begin working immediately.  Stay in your assigned seat until after Mr. Szwast.

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Presentation on theme: " You have all of class to work on your trigonometric function graphs.  Begin working immediately.  Stay in your assigned seat until after Mr. Szwast."— Presentation transcript:

1  You have all of class to work on your trigonometric function graphs.  Begin working immediately.  Stay in your assigned seat until after Mr. Szwast has checked your homework.  You can use the Table feature on your TI-83 to help you fill out the table on the back.

2  A man is standing at the top of a cliff, 25 meters above the water below. He is looking out at a boat in the distance. The angle of depression is 30˚. 1) How far away from the bottom of the cliff is the boat? 2) How far away is the boat from the man?

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4  No calculators  No notes  No talking. If you appear to be talking while any quiz is out, you will receive a zero.

5 Section 4.4

6  We are no longer restricting ourselves to points on the unit circle.  Points can now be any distance “r” away from the origin  Points are still always on the terminal side of θ. Initial side is still the positive x-axis.

7 NameAbbreviationRelation to (x, y) and r Restriction Sinesiny/r Cosinecosx/r Tangenttany/xx≠0 Cosecantcscr/yy≠0 Secantsecr/xx≠0 Cotangentcotx/yy≠0

8  Let P=(-5, -12) be a point on the terminal side of θ. Find each of the six trigonometric functions of θ.

9  Let P=(4, -3) be a point on the terminal side of θ. Find each of the six trigonometric functions of θ.

10 AS TC

11  If tan θ >0 and cos θ < 0, in which quadrant does θ lie?

12  Page 474 #1-21 odd

13  Let P=(5, -5) be a point on the terminal side of θ. Find each of the six trigonometric functions of θ.

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15  If tan θ >0 and cos θ < 0, in which quadrant does θ lie?

16  Given that and find the value of the rest of the trigonometric functions

17  Given that and find the value of the rest of the trigonometric functions

18  Page 474 #1-33 odd

19  In Exercises 23-34, find the exact value of each of the remaining trigonometric functions of θ

20  Given that and find the value of the rest of the trigonometric functions

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22  We like dealing with acute angles (0˚<θ<90˚).  We can often find trig functions of non-acute angles by using an acute reference angle  Let θ be a non-acute angle in standard position that lies in a quadrant (not on an axis)  Its reference angle is the positive acute angle θ’ formed by the terminal side of θ and the x-axis

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25  Quadrant I:  Quadrant II:  Quadrant III:  Quadrant IV:

26  Find the reference angle θ’ for each of the following angles:

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29 1) Find the associated reference angle, θ’ 2) Find the trig function value of θ’ 3) Use the quadrant which θ lies in to choose the appropriate sign to the value found in step 2

30  Find the exact value of each of the following:

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33  Trig Value Table Practice (1 side)  Page 474 #35-65 Odd  No calculators!


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