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Name Lesson 10.1 Intestate Mrs. ChiarenzaPeriod Graphs in Trigonometry Do Now: Fill in the table below for the function y sin x. Next we will plot all of these points on a graph. Guidelines for graphing
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How to fill out graphs in trigonometry

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How to fill out graphs in trigonometry

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To fill out graphs in trigonometry, follow these steps:
02
Determine the period of the graph by finding the length of one complete cycle.
03
Find the amplitude, which is the maximum distance the graph reaches from the x-axis.
04
Determine the phase shift, which is any horizontal translation of the graph.
05
Identify the x-intercepts by solving the equation for when y=0.
06
Locate the y-intercept, which is where the graph intersects the y-axis.
07
Plot additional points by selecting various x-values and calculating the corresponding y-values using the trigonometric function equation.
08
Connect the plotted points to form a smooth curve.
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Who needs graphs in trigonometry?

01
Graphs in trigonometry are useful for anyone studying or applying trigonometric functions and their properties.
02
Some specific examples of who needs graphs in trigonometry include:
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- Students studying trigonometry in school
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- Engineers designing and analyzing periodic systems
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- Physicists studying periodic phenomena
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- Architects and designers creating structures with periodic patterns
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- Surveyors and geographers working with navigational systems and coordinates
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- Astronomers studying celestial motions
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Graphs in trigonometry are visual representations of mathematical functions and relationships between variables.
Students studying trigonometry are usually required to create and analyze graphs as part of their coursework.
To fill out graphs in trigonometry, one needs to plot points based on the values of the variables and connect them with lines or curves to show the relationship between them.
The purpose of graphs in trigonometry is to visually represent mathematical functions and make it easier to understand the relationships between variables.
Graphs in trigonometry should include the axes, labels, plotted points, and the curve or line representing the mathematical function.
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