Circle Angles Worksheet Page 3
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412/14/2015
Examples 16.3.1 / 16.3.1*
Examples 16.3.2 / 16.3.2*
Find each value exactly:
Find each value exactly:
A) sin (−3 )
A) cos
E) cos
B) cos −3
C) tan −3
B) sin
F) sin
D) sin
E) cos
C) tan −
G) tan −
F) tan
D) cos
H) sin
Example 16.3.3
Notes on Inverse Functions
Use a calculator to evaluate the following:
Unfortunately, inverse sine, cosine, and tangent give only part
of the answer:
a) sin 3.42
Inverse sine gives one answer in quadrant I or IV
b) tan 0.8234
Inverse cosine gives one answer in quadrant I or II
Inverse tangent gives one answer in quadrant I or IV
c) sec 5.6041
d) csc (-2.7335)
To get the second answer for inverse sine, subtract the first
answer from π.
To get the second answer for inverse cosine, subtract the first
answer from 2π.
To the the second answer for inverse tangent, add π to the first
answer.
Examples 16.3.4 / 16.3.4*
Example 16.3.5
Find the value of s if:
Using the formula and information given in
Example 5, find the angle of elevation for Sitka,
0,
cos = 0.968
A)
Alaska which has latitude 57.1°
,
tan = 1
B)
0,
sin = 0.3210
C)
, 2
tan = −
D)
3
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