Question

Find sine of angle of inclination to the axis is of line y=1/3x√3+3​

Answer 1

1/2.

Explanation:

The inclination of the line to the x axis = 1/3*√3

= √3/3.

This is the tangent of the angle.

The sine of the angle =√3/hypotenuse.

The hypotenuse = √( √3)^2 + 3^2) (By the Pythagoras theorem)

= √12

= 2√3

Therefore the required sine is √3/ 2√3

= 1/2.

I think that's what you want!!