1.

Find the slopes of the lines which make the following angles with the positive direction of x - axis : \(\frac{\pi}{3}\)

Answer»

Given \(\frac{\pi}{3}\)

To Find: Slope of the line 

Angle made with positive x - axis is \(\frac{\pi}{3}\)

The Slope of the line is m 

Formula Used: m = tan θ 

So, The slope of Line is m = tan \(\Big(\frac{\pi}{3}\Big)\) 

⇒ tan\(\Big(\frac{\pi}{3}\Big)\) = \(\sqrt{3}\)

Hence, The slope of the line is √3



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