Question

I need to find sec(theta)= 2(sqrt3)/3

Answer 1

Ф=11

Answer 2

Answer: 30° and 330°

Explanation:

sec θ =
`(2√(3))/(3)`

sec θ =
`(1)/(cos(\theta))`

`(1)/(cos(\theta))` =
`(2√(3))/(3)`

cos θ =
`(3)/(2√(3))`

cos θ =
`(3)/(2√(3))((√(3))/(√(3)))`

cos θ =
`(3√(3))/(3*2)`

cos θ =
`(√(3))/(2)`

Look at the Unit Circle to see that cos =
`(√(3))/(2)` at 30° and 330° ( which is equivalent to π/6 and 11π/6)