Question

What is the angle made by 1-7 - O with X-axis?​

Answer 1

45ⁿ

θ=cos

−1

(

A

.

i

^

)/∣

A

∣∣

i

^

∣=cos

−1

1/

2

=45

∘

Answer 2

$\huge{\textbf{\textsf{{\color{navy}{Solu}}{\purple{t}}{\pink{ion}} {\color{pink}{:}}}}}$

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°.

Ans: 30°