For the polar curve

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the polar curve

r=2+\theta

, determine the equation of the tangent line in Cartesian form at the point corresponding to

\theta=\frac{\pi}{4}

. Express your answer using point–slope or slope–intercept form.