Question

PLEASE HELP ME FIGURE THIS OUT 1..

Answer 1

Answer: π/6

Explanation:

sec θ =
`(2)/(√(3))`

sec =
`(1)/(cos)`

⇒
`(1)/(cos)` =
`(2)/(√(3))`

⇒ cos θ =
`(√(3))/(2)`

Since it is an acute angle, then 0° > θ > 90°

Look at the Unit Circle to find that cos θ =
`(√(3))/(2)` at π/6

***********************************************************************

Answer: -300°

Explanation:

Set up the proportion:

`(\pi )/(180) = \frac{-5\pi} {3x}`

Cross multiply and solve:

π(3x) = 180(-5π)

x =
`(180(-5\pi))/(3\pi)`

x = 60(-5)

x = -300