What is the equation of the tangent line of #r=tan^2(theta) - sin(theta-pi)# at #theta=pi/4#? Calculus Polar Curves Determining the Slope and Tangent Lines for a Polar Curve 1 Answer Batgirl May 10, 2018 #r=(2+sqrt2)/2# Explanation: #r=tan^2 theta- sin(theta - pi)# at #pi/4# #r=tan^2 (pi/4) - sin (pi/4 -pi)# #r=1^2 - sin((-3pi)/4)# #r=1-sin((5pi)/4)# #r=1-(-sqrt2/2)# #r=1+sqrt2/2# #r=(2+sqrt2)/2# Answer link Related questions How do you find the slope of the tangent line to a polar curve? How do you find the slope of a polar curve? How do you find the equation of the tangent line to the polar curve #r=3+8sin(theta)# at #theta=pi/6# ? How do you find the slope of the polar curve #r=3+8sin(theta)# at #theta=pi/6# ? How do you find the slope of the polar curve #r=cos(2theta)# at #theta=pi/2# ? How do you find the slope of the polar curve #r=1+sin(theta)# at #theta=pi/4# ? How do you find the slope of the polar curve #r=3sec(2theta)# at #theta=pi/6# ? How do you find the equation of the tangent lines to the polar curve #r=sin(2theta)# at #theta=2pi# ? How do you find the equation of the tangent lines to the polar curve #r=4cos(theta)# at #theta=0# ? What is the slope of #x-2y=2#? See all questions in Determining the Slope and Tangent Lines for a Polar Curve Impact of this question 1868 views around the world You can reuse this answer Creative Commons License