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Evaluating using the Unit CircleObjective: use the Unit Circle instead of a calculator to evaluating trig functionsHow is the Unit Circle used in place of a calculator?
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Remember…
x
y1
Ѳ
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Ex 1) Evaluating each of the following:
cos(45°)
sin(120°)
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Finding tangent
Divide the coordinates (y on top)
Dividing fractions: “Keep, Change, Flip”
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Simplify using “Keep, Change, Flip”
a. b.c.
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Ex 2) Evaluate each of the following
tan(45°)
tan(120°)
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Reciprocal Trig Functions
cscθ =
cotθ =
Reciprocal of “cosine”
Reciprocal of “sine”
Reciprocal of “tangent”
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Ex) Evaluate each of the following
sec(45°)
csc(120°)
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“Undefined”
What happens when you try to evaluate these functions?
a. tan(90°) b. tan(270°)
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
How many radians is 90 degrees?
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MATHO!!
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MATHO!!
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MATHO!!
How many radians is 360 degrees?
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
How many radians is 180°?
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
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MATHO!!
How many radians is 270°?