Question
Asked Nov 4, 2019

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work.
x = 3cos(θ)
y = sin(2θ)

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Expert Answer

Step 1

Refer to the question, we have to find the points on the curve where the tangent is horizontal or vertical.

x 3cos (0)
y = sin(20)
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x 3cos (0) y = sin(20)

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Step 2

Use the following formula for the derivative of sinx and cos x as,

d(cos x)
=-sinx
d(sin
= cos x
dx
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d(cos x) =-sinx d(sin = cos x dx

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Step 3

Use differentiation to get the tang...

-3 sin
de
y=sin 20
=cos 20-2
de
=2 cos 20
dy 2cos 20
d 3sin
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-3 sin de y=sin 20 =cos 20-2 de =2 cos 20 dy 2cos 20 d 3sin

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Tagged in

Math

Calculus

Derivative