notes # ____. trigonometry trigonometry : the study of the properties of triangles trigonometric...
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Notes # ____
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
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
AC
B
41
40
9
Find tan A and tan B.
PR
Q
5
4
3
Find tan P and tan Q.
FD
E
7045 m
The tangent of an angle depends on the angle, not the size of the triangle.
Find the measurement of DF.
RQ
P
5520 m
Find the measurement of QR.
Applications of trigonometry may include these angles
Find the measurement of DF.
angle of depression
angle of elevation
Find the height of the tree
B
C
A5 ft
40 100 ft
Find the angle of elevation.
B
C
A
10 ft
48 ft
arctangent is the same as inverse tangent
Find the angle of depression.
B
C
A
760 ft
5000 ft
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