How do you transform the polar equation theta=pi/6 to an equation in rectangular coordinates and identify its shape?

Question

anonymous · Answer

angle is a contant $\implies $ it is a line

anonymous · Answer

@satellite73, Right, but how do you change it into rectangular coordinates? :o

tkhunny · Answer

Same as you transform any other polar equation.

The inverse cosine might give a clue as to which way the line points.

anonymous · Answer

if i am not mistaken the slope will be $\tan^{-1}(\frac{\pi}{6})$ 
@tkhunny sound right?

tkhunny · Answer

Or the inverse sine (use r = 1) or the inverse tangent.  Whatever helps you to figure out that it's a line through the origin and your only task is to find the right angle.

anonymous · Answer

wouldn't it be tan (pi/6) ?$$\tan (\pi/6) $$ ?

anonymous · Answer

@satellite73

anonymous · Answer

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