Warm Up: Solve for x in the interval [0, π ] cos(x) = -½
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Transcript of Warm Up: Solve for x in the interval [0, π ] cos(x) = -½
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Inverse Trig FunctionsObj: Be able to evaluate inverse trig expressions.
TS: Explicitly assessing information and drawing conclusions.
Warm Up:Solve for x in the interval [0, π]
cos(x) = -½
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Definition of Inverse Trigy = arcsin(x) if and only if sin(y) = xDomain: Range:
y = arccos(x) if and only if cos(y) = xDomain: Range:
y = arctan(x) if and only if tan(y) = xDomain: Range:
.
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Definition of Inverse Trigy = csc-1(x) if and only if csc(y) = xDomain: Range:
y = sec-1 (x) if and only if sec(y) = xDomain: Range:
y = cot-1 (x) if and only if cot(y) = xDomain: Range:
.
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Examples: Evaluate without calc
1cot 1
arctan 1
1 2sin
2
3arccos
2
1sin .5
1 3tan
3
1 2cos
2
1cos / 2 1csc 2
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Examples: Approximate the values of each expression using your calculator.
arctan 2.75
1sin 0.91 arccos .2
1 1sin4
1tan 77 1 1cos
7