How do you graph #\theta = 30^\circ#?

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Answer 1 · 2018-07-25T15:53:23

#theta = alpha# is the equation of the radial line,from pole, in that

direction.

The radial line is in #[ Q_1 Q_2 Q_3 Q_4 ]#,

if #alpha in [ Q_1 Q_2 Q_3 Q_4 ]#, respectively.

Here, it is in #Q_1#, wherein both #x and y >= 0#.

The slope of this line is #tan ( 30^o ) = 1/sqrt3# and the Cartesian

equation is

#y =1/sqrt3 x, x >=0 and y >= 0#, See graph.
graph{y-x/sqrt3 =0[0 20 0 10]}