Trigonometric Functions Assignment help

Please complete the following questions. It is important that youshow all work you did to solve the problems when you submit your work.This includes any calculations, diagrams, or graphs that helped yousolve it.OPEN ENDED Draw and label an example of an anglewith negative measure in standard position. Then find an angle withpositive measure that is coterminal with this angle.Writing in Math Use the information onpage 779 to explain how trigonometry is used in building construction.Include an explanation as to why the ratio of vertical rise tohorizontal run on an entrance ramp is the tangent of the angle the rampmakes with the horizontal. Page 779 is in the attachments.

High School
Seas
es of
netric functions
angles
oblems
right triangles
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 tangent of the angle the ramp
makes with the ground. In this example, the tangent of angle A is
ocabulary
try
tric functions
11
12 +
siangle
eleve
depress
B
ag Math
hypotenuse
opposite
leg
gonometric 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
Consider right triangle ABC in which the
measure of acute angle A is identified by the
Greek letter theta, e. The sides of the triangle
are the hypotentse, the leg opposite 6, and the
leg adjacent to e
etry
Irg
como
gol meant
ndo meaning
ment
A
adjacent leg
С
Using these sides, you can define six trigonometric functions: sine,
cosine, tangent, cosecant, secant, and cotangent. These functions are
abbreviated sin cos, tan, esc, sec, and cot, respectively,
1
BET READ y for the Lesson
A skycoaster consists of a large arch
from which two steel cables hang
and are attached to riders suited
together in a harness. A third cable,
coming from a larger tower behind
the arch, is attached with a ripcord.
Riders are hoisted to the top of the
larger tower, pull the ripcord, and
then plunge toward Earth. They
swing through the arch, reaching
speeds of more than 60 miles per
hour. After the first several swings
of a certain skycoaster, the angle of
the riders from the center of the arch is given by 8 = 0.2 cos (1.61).
where I is the time in seconds after leaving the bottom of their swing.
ac
Tol
Trigonometric Functions and General Angles in Lesson 13-1, you found
values of trigonometric functions whose domains were the set of all
acute angles, angles between 0 and 5 of a right triangle. For />in the
equation above, you must find the cosine of an angle greater than . In
this lesson, we will extend the domain of trigonometric functions to
include angles of any measure.
KEY CONCEPT
Trigonometric Functions, o in Standard Position