Question -
Answer -
Given:
A line which ispassing through (2, 2тИЪ3), the angle is 75o.
By using the formula,
The equation of lineis [y тАУ y1┬а= m(x тАУ x1)]
Here, angle,┬а╬╕ =75o
The slope of the line,m = tan ╬╕
m = tan 75o
= 3.73 = 2 +┬атИЪ3
The line passingthrough (x1, y1) =┬а(2, 2тИЪ3)
The required equationof the line is┬аy тАУ y1┬а= m(x тАУ x1)
Now, substitute thevalues, we get
y тАУ┬а2тИЪ3┬а= 2+┬атИЪ3┬а(x тАУ 2)
y тАУ 2тИЪ3 = (2+┬атИЪ3)x тАУ 7.46
(2 +┬атИЪ3)x тАУ y тАУ 4= 0
тИ┤ The equation of theline is┬а(2 +┬атИЪ3)x тАУ y тАУ 4 = 0