Use the information on page 788 to explain how angles can be used to describe circular motion.

Use the information on

page 788

to explain how angles can be used to describe circular motion. Include an explanation of the significance of angles of more than 180° in terms of circular motion, an explanation of the significance of angles with negative measure in terms of circular motion, and an interpretation of a rate of more than 360° per minute.

13-1
Right Triangle Trigonometry
Main Ideas
• Find values of
trigonometrik functions
for acute angles
. Solve problems
Imaking right, liaigs.
In A
GET READY for the Lesson
The Americans with Disabilities
Act (ADA) provides regulations
designed to make
public buildings
accessible to all. Under this act,
the slope of an entrance ramp
designed for those with mobility
disabilities must not exceed a ratio
of 1 to 12. This means that for
every 12 units of horizontal run,
the ramp can rise or fall no more than 1 unit
When viewed from the side, a ramp forms a right triangle. The slope
of the ramp can be described by the agent of the angle the ramp
makes with the ground. In this example, the tangent of angle A ist
New Vocabulary
1
121
trigonometry
trigonometric functions
sine
cosine
tangent
Contant
cotanzen
shit a right triangle
angle of elevation
ange of depression
Reading Math
opposite
In
Trigonometric Values The tangent of an angle
is one of the ratios used in trigonometry
Trigonometry is the study of the relationships
among the angles and sides of a right triangle Typotenuse
Consider right triangle ABC in which the
measure of acute angle A is identified by the
Greek letter theta, 8.
The sides of the triangle
are the potenuse, the leg presite, and the
leg adjacent to e.
Trigonometry
The word trigantis
derived from two Greek
wurds-Irigon meaning
triangle and were meaning
measurement
atacenting
C
Using these sides, you can define six trigonometric functions: sine,
cosine, tangent, cosecant, secant, and cotangent. These functions are
abbreviated sin, cos, lan, csc, sec, and col, respectively.
KEY CONCEPT
Trigonometric Functions
If is the measure of an acute angle of a right triangle, opp is the measure
of the leg opposite , adj is the measure of the leg adjacent to e, and hyp is
the measure of the hypotenuse, then the following are true.
sin
app
COS
tan e-
hyp
hyp
hyp
adi
opp
adi
ad
opp
sec8 –
–
000
CSC –
hyp
cot 8
Notice that the sine, cosine, and tangent functions are reciprocals of the
cosecant, secant, and cotangent functions, respectively. Thus, the following
are also true
SCO-
Sec – 1
cot –
sin
COS
tan
Lesson 13-1 Right Triangle Trigonometry 759