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Asked Nov 1, 2018
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9.
Find the maximum and minimum values of the following curve:
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9. Find the maximum and minimum values of the following curve:

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Expert Answer

Step 1

To find the maximum and minimum values of the given curve, first we find the critical points.

To find the critical points, we find the first derivative and set that equal to zero and solve for x values.

So we differentiate both sides with respect to x.

We know that the derivative of sin(x) is cos(x)  and the derivative of the cos(x) is -sin(x)

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Step 2

Now for critical points, we set the first derivative zero.

Now we simplify further by first subtracting 4 cos(x) both sides and then divide both sides by 3cos(x).

Now on the left side, we use the trigonometric ratio, tan(x)=sin(x)/cos(x)

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Step 3

Now to solve for x, we use the concept that if tan(x)=m, then x=arctan(m)

And then using a calcula...

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Trigonometry

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