Question

The angle θ=π/6 is in standard position and has a terminal side that coincides with the graph of a proportional relationship represented by y=kx.

a. Find the constant of proportionality, k.

k= ?

Question 2
b. Write an ordered pair that lies on the graph of y=kx.

(3√ 3, ? )

Answer 1

a)
`k \approx (√(3))/(3)`, b)
`\left((√(3))/(3), (1)/(3) \right)`

Explanation:

a) The constant of proportionality is:

`k = (y)/(x)`

`k = \tan \theta`

`k = \tan (\pi)/(6)`

`k \approx (√(3))/(3)`

b) The ordered pair is:

`\left((√(3))/(3),(√(3))/(3)\cdot (√(3))/(3) \right)`

`\left((√(3))/(3), (1)/(3) \right)`