Question

Find the slope of the line whose inclination to the positive direction of x axis is 75 degree and 15 degree

Answer 1

Answer:

slope of line = tan 75° = tan(45+30) =

$\frac{tan45 \: + \: tan30}{1 - \: tan45 \: tan30} = \frac{1 + \frac{1}{ \sqrt{3} } }{1 - 1 \times \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3} + 1 }{ \sqrt{3} - 1}$