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Try again...TRIGONOMETRIC FUNCTIONSSketching the graph of y a sin(x) or y= a cos(x)Try Again3sinxGraph the function y2To draw the graph, plot all points corresponding to x-intercepts, minima, and maxima within one cycle. Then click ongraph icon21?2 TЗп47t-1+-23-

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Try again...
TRIGONOMETRIC FUNCTIONS
Sketching the graph of y a sin(x) or y= a cos(x)
Try Again
3
sinx
Graph the function y
2
To draw the graph, plot all points corresponding to x-intercepts, minima, and maxima within one cycle. Then click on
graph icon
2
1
?
2 T
Зп
47t
-1+
-2
3-
help_outline

Image Transcriptionclose

Try again... TRIGONOMETRIC FUNCTIONS Sketching the graph of y a sin(x) or y= a cos(x) Try Again 3 sinx Graph the function y 2 To draw the graph, plot all points corresponding to x-intercepts, minima, and maxima within one cycle. Then click on graph icon 2 1 ? 2 T Зп 47t -1+ -2 3-

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check_circleAnswer
Step 1

x-intercepts:

y 0
3
sin x = 0
2
sinx 0
sin (nr) 0,n einteger
x -T,0,,27,3x,.
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y 0 3 sin x = 0 2 sinx 0 sin (nr) 0,n einteger x -T,0,,27,3x,.

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Step 2

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

фу d
sinx
dx
3
(cos.x)
2
-3
COsx
2
2n+1 0,neinteger
Cos
2
2n1
2
пл Зл 5л
2 2 2 2
Now apply the values ofx in given equation and obtain the values ofy
Зл
5л
2
2
2
y1.5 1.51.51.5
From above table the value of
—т Зл 7л
1.5,x
2 2 2
л 5л 9л
-1.5,x
2 2
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фу d sinx dx 3 (cos.x) 2 -3 COsx 2 2n+1 0,neinteger Cos 2 2n1 2 пл Зл 5л 2 2 2 2 Now apply the values ofx in given equation and obtain the values ofy Зл 5л 2 2 2 y1.5 1.51.51.5 From above table the value of —т Зл 7л 1.5,x 2 2 2 л 5л 9л -1.5,x 2 2

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Step 3

Therefore, in one co...

Зл
Maxima y 1.5 at x
2
Minima y -1.5 at x = -
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Зл Maxima y 1.5 at x 2 Minima y -1.5 at x = -

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Tagged in

Math

Calculus

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