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# Unit Circle: Real-World Applications

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## Ashlyn Lacey

on 25 May 2017

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#### Transcript of Unit Circle: Real-World Applications

UNIT CIRCLE
REAL WORLD APPLICATIONS
unit circle and its related trigonometric functions can be used in many professions today
seen in architecture, engineering, geography, astronomy, digital imaging
used to estimate heights and distances
trig functions useful in studying light, sound, and electricity waves
"spherical trigonometry"
ARCHITECTURE
used to determine geometric patterns in buildings
used for curving surfaces of materials such as glass or steel
used for finding heights
creating 3-D figures
TYPES OF WAVES
unit circle and trig functions
light, sound, water can institute a mathematical formula to predict their movements (sine)
late 1700s, the creation of the coordinate plane, influenced the unit circle and trig functions

QUIZ
1. What is the unit circle used for?

2. What are some of the professions the unit circle and its related functions are used in?

3. What was one of the first areas to use trig functions?
ASTRONOMY
Babylonians, Egyptians, and Greek used trigonometry to identify and organize the stars
Babylonians used trigonometry to give coordinates to the stars
elliptic circle is what the trig is based around
astronomy was one of the first to use trig functions
Unit Circle: Real-World Applications
The unit circle is used to understand sines and cosines of angles found in right triangles. The unit circle has a center at the origin (0,0) and a radius of one unit. Angles are measured starting from the positive x-axis in quadrant I and continue around the unit circle.
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