Write an equation for the line ?

Question

A straight line from the origin passes through the point P(x,y) in the first quadrant and is inclined at $θ = (pi)/(3)$ from the positive x-axis. Write an equation for the line.

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Answer 1 · 2018-03-31T13:11:10

$y=1/sqrt3x$

Given:

$theta=pi/3$

Slope is

$m=tan theta$

$tan theta = tan (pi/3)$

$tan(pi/3)=1/sqrt3$

$m=1/sqrt3$

Equation of the straight line passing through the origin and having slope m is given by

$y=mx$

$y=1/sqrt3x$