# Pre-Calculus

1.) Which of the following polar equations is equivalent to the parametric equations below?
x=t^2
y=2t
A.) r=4cot(theta)csc(theta)
B.) r=4tan(theta)sec(theta)
C.) r=tan(theta)sec(theta)/4
D.) r=16cot(theta)csc(theta)

2.) Which polar equation is equivalent to the parametric equations below? x=sin(theta)cos(theta)+cos(theta)
y=sin^2(theta)+sin(theta)
A.) r=cos(theta)+1
B.) r=sin(theta)+1
C.) r=sin^2(theta)+1
D.) r=1-cos(theta)

1. 👍
2. 👎
3. 👁
1. First you try.

1. 👍
2. 👎
2. like t = y/2
then x = t^2 = y^2/4
so
y^2 = 4 x
but
y = r sin T
x = r cos T
so
r^2 sin^2 T = 4 r cos T
r sin^2 T = 4 cos T
r =4 cos T/sin^2T = 4 cot T csc T

1. 👍
2. 👎

## Similar Questions

1. ### Calculus 3

Find the parametric equations of the line through the points (1, 3, 2) and (4, -1, 1).

2. ### calculus

Find parametric equations and symmetric equations for the line through P0 and perpendicular to both given vectors. (P0 corresponds to t = 0.) P0 = (4, 3, 0) i + j and j + k Not exactly sure what to do, how do I find what is

3. ### Calculus

Find the parametric equations for the line of intersection of the planes x+y+z=3 and x-y+2z=2 I took the cross product of the 2 equations and got 3i-j-2k I then set z=0 and got x=5/2 and y=1/2. I got: x=5/2 +3t y=1/2-t z=-2t

4. ### Mathematics

Q/ Find the parametric equations of the line joining the points P1( 1, 1, -1) and P2( 1, 2, 0)?

1. ### Math

Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 2, x + z = 0 X=1 y = Z= x=, y=

2. ### calc 3

Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 7x2 + 2y2 + 6z2 = 33 at the point (−1, 1, 2). (Enter your answer as a comma-separated list of equations.

3. ### math

Find a set of parametric equations for y= 3x + 7, given the parameter t= 5 – 5x

4. ### Math-Precalculus-Parametric Equations - Ellipses

The graph of the equation (x-h)^2/(a^2) + (y-k)^2/b^2 = 1 is an ellipse with center (h,k), horizontal axis length 2a, and vertical axis length 2b. Find parametric equations whose graph is an ellipse with center (h,k), horizontal

1. ### math

Determine vector, parametric, and if possible, symmetric equations of the line through D(-4, 3, 6) and parallel to the z-axis. Vector form: + t Parametric: x = -4 y = 3 z = 6 + t Symmetric: x = -4 , y = 3 , z - 6 Is this right?

2. ### Math

Symmetric equations of a line are (x-1)/2 = (y+2)/-3 = (z-4)/5. Determine vector and parametric equations for the line. Is this right? v = < 2, -3, 5 > Parametric Equations: x = 1 + 2t y = -2 - 3t z = 4 + 5t

3. ### Calc 3

Find the parametric equations for the tangent line to the curve with the given parametric equations at specified point. x= e^t y=te^t z=te^(t^2) (1,0,0)

4. ### Math

Vector and parametric equations? A plane contains the point B(-3, 2, -4) and the line with parametric equations x = 1 + 2t, y = -t, z = -2 + 3t. Determine vector and parametric equations of the plane.