Change to polar coordinate the equations
`y = x tan alpha`

Change to polar coordinates the equations x^(2)-y^(2)=2ay

Find the Cartesian coordinates (drawing a figure in each cas the points whose polar coordinates are: (5,(pi)/(4)) Change to polar coordinates the equations:

Transform the equation y = x tan alpha to polar form.

If alpha, beta are the roots of the equation 6x^(2) - 5x + 1 = 0 , then the value of (1)/(pi) [tan ^(-1) (alpha) + tan^(-1) (beta)] is ________

If the line ax+by=1 passes through the point of intersection of y=x tan alpha+p sec alpha,y sin(30^(@)-alpha)-x cos(30^(@)-alpha)=p and is inclined at 30^(@) with y=tan alpha x, then prove that a^(2)+b^(2)=(3)/(4p^(2))

The coordinates of the point at which the line x cos alpha + y sin alpha + a sin alpha = 0 touches the parabola y^(2) = 4x are

Convert y=10 into a polar equation.