Show that the equation of the line passing through the origin and making an angle `theta` with the line `y=mx+c` is `y/x = (m+-tan theta)/(1 overset(-)(+)m tan theta)` .

Show that the equation of the line through the origin and making an angle theta with the line y = mx+c is : y/x= (m +- tan theta)/(1 overset(-)(+) m tan theta) .

Find the equations of the st. lines which pass through (4, 5) and make angle 45^@ with the st. line 2x + y + 1 =0.

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is

Show that the st. line, which passes through the point (4,12) and makes an angle tan^(-1)3 with the x-axis passes through the origin.

Prove that : tan 2 theta= (2 tan theta)/(1-tan^2 theta) .

Prove that : sin 2 theta= (2 tan theta)/(1+tan^2 theta) .

The equation to the straight line passing through the point (a "cos"^(3) theta, a "sin"^(3) theta) and perpendicular to the line x "sec" theta + y"cosec" theta = a is

A line makes an angle theta both with x-axis and y-axis. A possible range of theta is

If theta = 30^@ , verify that tan 2 theta= (2 tan theta)/(1- tan^2 theta) .

Prove that : cos 2 theta= (1-tan^2 theta)/(1+tan^2 theta) .