Question

(4)/(3)cot^(2)30\deg +3sin^(2)60\deg -2cosec^(2)60\deg -(3)/(4)tan^(2)30^(\deg )

Answer 1

Answer:

Straight line equation, y=√3x-4

This is in the form of y=mx+c.

Comparing the coefficients, m=√3

Alternatively, writing on the general form ax+by+c =0,

√3x-y-4=0

Slope = -a/b = (-√3/-1) = √3

Also, slope = tan ϴ

Therefore,

tan ϴ= √3

ϴ = arctan(√3)= 60°

The line makes an angle of 60° with the x-axis.

X-axis and Y-Axis are deviated by 90°.

Therefore, angle made by straight line with Y-axis = 90°-60° = 30°.