Trigonometry Worksheet Page 22

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#
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Use the sum-difference identities to show that sin{30{ =
, cos{30{ =
100.
and
$
$
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tan{30{ =
. Hint: 30 = 90 – 60.
%
= sin 2 ?
101.
What is the period of the graph of
#
= sin
102.
What is the period of the graph of
?
%
103.
The population of a mining town is modeled by the function

{ { = 1500 − 300 cos
{ − 1 { F,
Where t is months (January = 1, so forth). Your calculator should be in Radian mode.
a) Calculate the town’s population in March, July and November.
b) In what month is the population the lowest? The highest?

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