Horizontal and vertical tangents Find the points at which the following polar curves have a horizontal or a vertical tangent line.r = sin 2?

Solution 17EStep 1:Derivative of a polar equation is Using this we get, (Using and ) Step 2:For horizontal tangents the derivative must be equal to zero. Using this we get orFor we get .For we get For we get At these angles, we calculate r as followsHence the horizontal tangents are at points,