notes # ____. trigonometry trigonometry : the study of the properties of triangles trigonometric...
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Notes # ____
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trigonometrytrigonometry : the study of the properties of triangles
trigonometric ratiotrigonometric ratio : ratio of measures of two sides of a right triangle
tangenttangent : in a right triangle, the ratio of the leg opposite the acute angle to the leg adjacent to the acute angle
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measure of the leg opposite tan
measure of the leg adjacent to
AA
A
AC
B
hypotenuse
leg adjacent to A
leg opposite A
tan
BCA
AC
otan
aA
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AC
B
41
40
9
Find tan A and tan B.
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PR
Q
5
4
3
Find tan P and tan Q.
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FD
E
7045 m
The tangent of an angle depends on the angle, not the size of the triangle.
Find the measurement of DF.
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RQ
P
5520 m
Find the measurement of QR.
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Applications of trigonometry may include these angles
Find the measurement of DF.
angle of depression
angle of elevation
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Find the height of the tree
B
C
A5 ft
40 100 ft
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Find the angle of elevation.
B
C
A
10 ft
48 ft
arctangent is the same as inverse tangent
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Find the angle of depression.
B
C
A
760 ft
5000 ft