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