How do you find the points of intersection of #r=3+sintheta, r=2csctheta#?
Polar coordinates of points of intersection are
These are depicted in rectangular coordinates as shown below. graph{(y-2)(x^2+y^2-y-3sqrt(x^2+y^2))=0 [-10, 10, -5, 5]}
By signing up, you agree to our Terms of Service and Privacy Policy
To find the points of intersection of the polar curves ( r = 3 + \sin(\theta) ) and ( r = 2\csc(\theta) ), set them equal to each other: ( 3 + \sin(\theta) = 2\csc(\theta) ). Solve this equation for ( \theta ) to find the values of ( \theta ) where the curves intersect. Then, substitute these values of ( \theta ) back into either of the original equations to find the corresponding values of ( r ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What is the slope of the tangent line of #r=theta-3cos((2theta)/3+(pi)/2)# at #theta=(-5pi)/6#?
- How do you find the area between the loop of #r=1+2costheta#?
- What is the polar form of #( 3,-27 )#?
- What is the area under the polar curve #f(theta) = theta^2-thetasin(2theta-pi/4 ) +cos(3theta-(5pi)/4)# over #[pi/8,pi/2]#?
- What is the distance between the following polar coordinates?: # (3,(-7pi)/12), (2,(7pi)/8) #

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7