Use the information on
page 796
to explain how you can model the position of riders on a skycoaster.
13-3
Trigonometric Functions
of General Angles
Main Ideas
– Ridwalut
trigonometric func
treneral angles.
– Use referent anges
mirdzus
trigonometri
fundit
New Vocabulary
quatrende
rekre end
GET READY for the Lesson
A sky coaster consists of a large arch
from which Iwo sleel cables hang
and are allached to riders will
logether in a harness Athing calle,
coming from a larger tower behind
the arch, is attached with a ricond
Riders are hosted to the top of the
larger lower, pull the ripoon, and
then plurge foward Earth. They
swing through the arch, reaching
speeds of more than miles per
hour. After the first several swings
of a certain skycaster, the angle of
the riders from the center of the arch is given by – 12 cos (1.4)
where is the time in seconds after leaving the bottom of their swing.
Trigonometric Functions and General Angles In lesson 13-1, you found
values of trigonometric functions whice domains were the set of all
acute angles, angles between 0 and of a right triangle. Fort 0 in the
equation abone, you must find the cucire of an angle greater than
this less, we will extend the domain of trigoroctric functions to
include angles of my heasure
KEY CONCEPT Trigonometric Functions, in Standard Position
Leto be an angle in standard position and let
Pixy) be a point on the terminal
sice of Using
the Pythagorean Theorem, the distance from the
originta Pis given by r- vrü + y. The trigonometric
functions of an angle in standard position may be
delined as follows.
sin – cos-
csco = v*0 Sec i = f**not9 = v=0
tan
EXAMPLE Evaluate Trigonometric functions for a Given Point
Find the exact values of the six trigonometric
functions of 0 if the terminal side of contains the
point 15-12).
From the coordinates you know that. – 5 anu
7–12. Use the lytuagorean theorem totid
115.-12
776 Chapter 13 Trigonometric Functions
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