# Determining the Slope and Tangent Lines for a Polar Curve - Page 6

Questions

- How do you sketch the graph of the polar equation and find the tangents at the pole of #r=2(1-sintheta)#?
- What is the equation of the tangent line of #r=6cos(theta-(2pi)/3) # at #theta=(-5pi)/3#?
- What is the equation of the line that is normal to the polar curve #f(theta)=2sin(3theta+pi/3) - 2thetacostheta # at #theta = pi/4#?
- How do you sketch the graph of the polar equation and find the tangents at the pole of #r=3sin2theta#?
- What is the slope of the polar curve #f(theta) = sectheta - csctheta # at #theta = (5pi)/4#?
- What is the equation of the tangent line to the polar curve #f(theta)=theta- sin((3theta)/2-pi/2)+tan((2theta)/3-pi/2) # at #theta = pi#?
- What is the equation of the tangent line to the polar curve # f(theta)=2thetasin(theta)+thetacot^2(4theta) # at #theta = pi/3#?
- What is the equation of the tangent line to the polar curve # f(theta)=theta^2costheta-theta+tan(theta/3) # at #theta = pi#?
- What is the slope of #r=thetacostheta/2-theta^2sintheta# at #theta=(3pi)/8#?
- What is the slope of the tangent line of #r=theta-sin((theta)/6+(2pi)/3)# at #theta=(pi)/6#?
- What is the slope of the tangent line of #r=12sin(theta/3)*cos(theta/2)# at #theta=(3pi)/2#?
- What is the equation of the tangent line to the polar curve # f(theta)= 5thetasin(3theta)+2cot(11theta) # at #theta = pi/12#?
- What is the slope of the polar curve #f(theta) = 2theta + tan^2theta - costheta # at #theta = (pi)/8#?
- What is the slope of the tangent line of #r=theta-3cos((2theta)/3+(pi)/2)# at #theta=(-5pi)/6#?
- What is the slope of the tangent line of #r=2theta+3cos((theta)/2-(4pi)/3)# at #theta=(5pi)/4#?
- What is the equation of the tangent line of #r=cos(theta-pi/4) +sin^2(theta+pi)-theta# at #theta=(-13pi)/4#?
- What is the slope of the tangent line of #r=2theta^2-3thetacos(2theta-(pi)/3)# at #theta=(-5pi)/3#?
- What is the slope of the tangent line of #r=theta-cos(-4theta+(2pi)/3)# at #theta=(7pi)/4#?
- What is the slope of the tangent line of #r=2sin(theta/4)*cos(theta/2)# at #theta=(9pi)/2#?
- What is the slope of the polar curve #f(theta) = theta^2 - csctheta # at #theta = (3pi)/4#?