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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 has checked your homework. You can use the Table feature on your TI-83 to help you fill out the table on the back.
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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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No calculators No notes No talking. If you appear to be talking while any quiz is out, you will receive a zero.
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Section 4.4
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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.
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NameAbbreviationRelation to (x, y) and r Restriction Sinesiny/r Cosinecosx/r Tangenttany/xx≠0 Cosecantcscr/yy≠0 Secantsecr/xx≠0 Cotangentcotx/yy≠0
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Let P=(-5, -12) be a point on the terminal side of θ. Find each of the six trigonometric functions of θ.
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Let P=(4, -3) be a point on the terminal side of θ. Find each of the six trigonometric functions of θ.
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AS TC
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If tan θ >0 and cos θ < 0, in which quadrant does θ lie?
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Page 474 #1-21 odd
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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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If tan θ >0 and cos θ < 0, in which quadrant does θ lie?
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Given that and find the value of the rest of the trigonometric functions
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Given that and find the value of the rest of the trigonometric functions
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Page 474 #1-33 odd
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In Exercises 23-34, find the exact value of each of the remaining trigonometric functions of θ
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Given that and find the value of the rest of the trigonometric functions
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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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Quadrant I: Quadrant II: Quadrant III: Quadrant IV:
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Find the reference angle θ’ for each of the following angles:
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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
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Find the exact value of each of the following:
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Trig Value Table Practice (1 side) Page 474 #35-65 Odd No calculators!
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