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