IM Alg2.6.9 Lesson: Introduction to Trigonometric Functions

[size=150]Suppose there is a point [math]P[/math] on the unit circle at [math](1,0)[/math].[/size][br][img]data:image/png;base64,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[/img][br]Describe how the [math]x[/math]-coordinate of [math]P[/math] changes as it rotates once counterclockwise around the circle.[br]
Describe how the [math]y[/math]-coordinate of [math]P[/math] changes as it rotates once counterclockwise around the circle.[br]
[size=150]Use the class display, the table from a previous lesson, or the applet to estimate the value of [math]y=\cos\left(\theta\right)[/math] and [math]y=\sin\left(\theta\right)[/math] where [math]\theta[/math] is the measure of an angle in radians.[/size]
Use technology to plot the values of y=cos(θ), where θ is the measure of an angle in radians.
Use technology to plot the values of y=sin(θ), where θ is the measure of an angle in radians.
What do you notice about the two graphs?
Explain why any angle measure between 0 and [math]2\pi[/math] gives a point on each graph.
Could these graphs represent functions? Explain your reasoning.
[size=150]Looking at the graphs of [math]y=\cos\left(\theta\right)[/math] and [math]y=\sin\left(\theta\right)[/math], at what values of [math]\theta[/math] do [math]\cos\left(\theta\right)=\sin\left(\theta\right)[/math]? [br][/size]
Where on the unit circle do these points correspond to?
[size=150]For each of these equations, first predict what the graph looks like, and then check your prediction using the applet at the end of the activity. [br][/size][br][math]y=\cos\left(\theta\right)+\sin\left(\theta\right)[/math]
[math]y=\cos^2\left(\theta\right)[/math]
[math]y=\sin^2\left(\theta\right)[/math]
[math]y=\cos^2\left(\theta\right)+\sin^2\left(\theta\right)[/math]
To enter the symbol for [math]\theta[/math], use the onscreen keyboard which can be accessed through the keyboard [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAdCAYAAADcvP5OAAABNUlEQVRYCe1XSw6FIAz01C71Gi49hx5Bd57BK7jlZUxqBl9KCnloeNqEMDS1HVo+UrlCpCqEp/sium2bm+fZjeOYtSEGYlnFI7quq2vb1tV1fUlDLMS0iEe07/tLCHIiENMiHlF2cCV+DtFhGI7JAiPLLBin2nDF2KeGg6VPJcHBtMk8kyjPOifmCmg4WPqu6/Y1iCUALGXEGA3jVBueuEaO9UGi7xo93XycOQ0HM4qyyp0vpZcxeim96GJsflp6dpYTa1lkfTCjOcmxbyak4WiisuOtPRPSsEaO9dFE+WML1six3uLnf4nKDrf2nDkNR2dUjhfNYQ590o8zngVN0+znYw5SZ5+IlfQUQQnw4Jqm6bjjrbs71g4xkh93lrVyl021LIsroXnH013ZssR9iVqyFGPzAXPwxRp5+prYAAAAAElFTkSuQmCC[/img] icon. You should enter each equation as a function. For example, [math]y=\sin(theta)[/math] can be entered as [math]f(\theta)=\sin(\theta)[/math]. Some examples are given in the applet below.
[size=150]For the equation given, predict what the graph looks like, and then check your prediction using technology: [math]y=\theta+\cos\left(\theta\right)[/math].[/size]

IM Alg2.6.9 Practice: Introduction to Trigonometric Functions

Which statement is [i]not[/i] true for the function [math]f[/math] given by [math]f\left(\theta\right)=\sin\left(\theta\right)[/math], for values of [math]\theta[/math] between 0 and [math]2\pi[/math]?
Angle [math]\theta[/math], measured in radians, satisfies [math]\cos\left(\theta\right)=0[/math]. What could the value of [math]\theta[/math] be? [size=100]Select [b]all [/b]that apply.[/size]
Here are the graphs of two functions.
[img]data:image/png;base64,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[/img][br]Which is the graph of [math]y=\cos\left(\theta\right)[/math]? Explain how you know.[br]
Which is the graph of [math]y=\sin\left(\theta\right)[/math]? Explain how you know.[br]
[size=100]Which statements are true for [i]both[/i] functions [math]y=\cos\left(\theta\right)[/math] and [math]y=\sin\left(\theta\right)[/math]? Select [b]all [/b]that apply.[/size]
[size=150]Here is a graph of a function [math]f[/math].[br][img]data:image/png;base64,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[/img][br][/size]The function [math]f[/math] is either defined by [math]f\left(\theta\right)=\cos^2\left(\theta\right)+\sin^2\left(\theta\right)[/math] or [math]f\left(\theta\right)=\cos^2\left(\theta\right)-\sin^2\left(\theta\right)[/math]. Which definition is correct? Explain how you know.
The minute hand on a clock is 1.5 feet long. The end of the minute hand is 6 feet above the ground at one time each hour. How many feet above the ground could the center of the clock be? Select [b]all [/b]that apply.
[size=150]Here is a graph of the water level height, [math]h[/math], in feet, relative to a fixed mark, measured at a beach over several days, [math]d[/math].[/size][br][img]data:image/png;base64,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[/img][br]Explain why the water level is a function of time.[br]
Describe how the water level varies each day.[br]
What does it mean in this context for the water level to be a periodic function of time?[br]

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