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Real Life Applications of Trigonometric Graphs

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by

Chelsea Kaye Punzalan

on 4 March 2015

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Transcript of Real Life Applications of Trigonometric Graphs

XOXO
Real Life Applications of Trigonometric Graphs
Chelsea Kaye Punzalan
TRIGONOMETRY MEANING AND USES
studies relationships involving lengths and angles of triangles
Literal: Three-Medical/Reproductive-Systems/Procedures
developed for astronomy and geography
movement and placement of planets and stars
navigation
used in physics, engineering, physics, chemistry and mathematics
electrical currents, radio broadcasting, low and high tides of the ocean, highways and building
TRIGONOMETRIC TOPIC IN THE REAL WORLD
SINE GRAPH
Formula: y = A sin ( x (B - C)) + D

Y = Y INTERCEPT
A = AMPLITUDE
SIN = FUNCTION
B = COEFFICIENT
C = PHASE SHIFT
D = VERTICAL SHIFT
Sinusoid
*Amplitude of the max/min from x axis
*Period is 2pi/B
*Domain: (-∞,∞)
*Range: [-1,1]
Medical:

MRIs
Orthopedics
Heart Rate
Breathing
Blood Pressure

TRIGONOMETRIC TOPIC IN THE REAL WORLD
Engineering:
aerospace engineering
mechanical engineering
civil engineering
buildings
furnitures
highway
SINE EXAMPLES
https://prezi.com/xvpndwwkq9ak/trigonometry-in-medicine/
USED TO FIND SPECIFIC LOCATION OF TUMOR IN THE BRAIN:
SINE EXAMPLE
COSINE GRAPH
Formula: y = A cos ( x (B - C)) + D
Y = Y INTERCEPT
A = AMPLITUDE
COS = FUNCTION
B = COEFFICIENT
C = PHASE SHIFT
D = VERTICAL SHIFT
*Amplitude of the max/min from x axis
*Period is 2pi/B
*Domain: (-∞,∞)
*Range: [-1,1]
COSINE EXAMPLE
COSINE EXAMPLE
CONCLUSION
Even though we might not think it's important, Trigonometry is used and important for many different jobs in many different fields such as medical, engineering and astronomy.
SOUND WAVES DEPICTS DIFFERENT TYPE OF SIN GRAPHS DEPENDING ON THE NOTE
SURVEYOR USES COSINE TO IDENTIFY UNKNOWN DISTANCE WHEN GIVEN TWO DISTANCES.
CATS FROM TREES CAN ALSO BE SAVED THROUGH COSINE
Full transcript