Find the equations to the straight lines which pass through the origin and are inclined at an angle of 750 to the straight line.
Given:
Equation passes through (0,0) and make an angle of 75° with the line
To find:
Equation of given line
Explanation:
We know that the equations of two lines passing through a point x1,y1 and making an angle α with the given line y = mx + c are
Here,
Equation of the given line is,
Comparing this equation with y = mx + c
We get,
∴ x1 = 0, y1 = 0, α = 75°, m
and tan75∘ = 2 +
So, the equations of the required lines are
Hence, Equation of given line is