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Asked Nov 11, 2019
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Find the slope of the tangent line to the given polar curve at the point specified by the value of θ.
r = 3sin(θ)
θ = π/6

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Consider the polar curve as r =3sin 0 and one point 0 = 6 A polar equation of the form r=r(0) can be converted into a pair of x(0)r(0) cos y0)=r(0)sin parametric equations as Substitute the value r = 3sin 0 in the above pair of parametric equations as 3 x(0) 3sin 0cos0 = sin 20 2 y(0) 3 sin 0sin0 = 3sin2 0

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