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Asked Sep 26, 2019
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O TRIGONOMETRIC FUNCTIONS
Sketching the graph of y- a sin(x) or y= a cos(x)
Graph the function y-2 cosx
To draw the graph, plot all points corresponding to x-intercepts, minima, and maxima within one cycle. Then click on the graph icon.
2+
?
27
37T
4Tt
-1-
-2+
-3-
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O TRIGONOMETRIC FUNCTIONS Sketching the graph of y- a sin(x) or y= a cos(x) Graph the function y-2 cosx To draw the graph, plot all points corresponding to x-intercepts, minima, and maxima within one cycle. Then click on the graph icon. 2+ ? 27 37T 4Tt -1- -2+ -3-

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Expert Answer

Step 1

x-intercepts:

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y 0 -2cosx 0 cos.x 0 cos + 0,n einteger 2 (2n+1)T 2 Зл п 3 3л 2 2 2 2

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Step 2

To find minima and maxima, differentiate the given equation with respect to x.

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dy d (-2 cos.x) dx dx =-2(-sin x =2 sinx sin (n) 0,n einteger x= -π, π,2 π, 3π, . . . Now apply the values ofx in given equation and obtain the values ofy 0 -T 22 2 -2 From above table the value of 2,x -7,,37,57 y |-2,x 0,27,47,67

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Step 3

Therefore, in one co...

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Maxima y 2 at x T Minima y -2 at x 277

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