# Determining the Slope and Tangent Lines for a Polar Curve - Page 4

Questions

- What is the slope of the tangent line of #r=2theta-cos(5theta+(5pi)/3)# at #theta=(-7pi)/4#?
- What is the slope of the tangent line of #r=thetacos(-3theta+(7pi)/4)# at #theta=(-2pi)/3#?
- What is the equation of the tangent line of #r=sintheta + costheta# at #theta=pi/2#?
- What is the slope of the tangent line of #r=thetacos(theta/4-(5pi)/3)# at #theta=(-5pi)/3#?
- What is the equation of the tangent line of #r=4cos(-theta+(5pi)/6) +sin(theta)# at #theta=(7pi)/12#?
- What is the slope of #x-2y=2#?
- How do you sketch the graph of the polar equation and find the tangents at the pole of #r=3(1-costheta)#?
- 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 slope of the polar curve #r=1+sin(theta)# at #theta=pi/4# ?
- What is the slope of the polar curve #f(theta) = theta + cot^2theta+thetasin^3theta # at #theta = (3pi)/8#?
- What is the slope of the polar curve #f(theta) = theta^2 - thetasintheta # at #theta = (11pi)/8#?
- How do you find the slope of the polar curve #r=3sec(2theta)# at #theta=pi/6# ?
- What is the slope of #r=tantheta^2-theta^2-theta# at #theta=(3pi)/8#?
- What is the slope of the polar curve #f(theta) = -4theta - thetacos^2theta # at #theta = (15pi)/8#?
- What is the equation of the tangent line of #r=cos(theta-pi/2)/sintheta - sin(2theta-pi)# at #theta=(-3pi)/8#?
- What is the equation of the tangent line of #r=tan^2(theta) - sin(theta-pi)# at #theta=pi/4#?
- What is the slope of the tangent line of #r=sin(theta/4)/sin(theta/2)# at #theta=(-3pi)/2#?
- What is the slope of the polar curve #f(theta) = theta + cottheta+thetasin^2theta # at #theta = (3pi)/8#?
- What is the equation of the tangent line to the polar curve # r(theta)=theta^2costheta-theta+sin(theta/3) # at #theta = pi#?
- What is the equation of the line that is normal to the polar curve #f(theta)=theta- sin((5theta)/2-pi/2)+tan((2theta)/3-pi/2) # at #theta = pi#?