r = 1+2sinθ dr/dθ = 2cosθ
Slope of tangent line = dy/dx = (dr/dθ sinθ + cosθ)/(dr/dθ cosθ -rsinθ)
When θ = 0, r = 1, dr/dθ = 2, cosθ = 1 and sinθ = 0.
Substituting into the formula, dy/dx = (0 + 1)/(2 - 0) = 1/2
Mark M.
tutor
The curve is given in polar form. The slope of the tangent at the point (x,y) is dy/dx. To find the slope of the tangent, we can either find dy/dx by first converting the polar form of the equation of the graph to rectangular form or by using the formula used in my solution.
Mark M. (Bayport, NY)
Report
04/03/17
Mark M.
Thank you.
Report
04/03/17
Mark M.
04/03/17