Question

Find the value of x and the value of y

Answer 1

Explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use Cos for y .... b/c we see that function above has all the pieces we are going to work with

use Sin for x .. for the same reason above

Cos(30) = y / 4
`√(2)`

4
`√(2)`Cos(30) = y

4
`√(2)`
`√(3)`/2 = y

2
`√(6)` = y

leave the answer for y like that.. it's in 'exact" form

now for x

Sin(30) = x / 4
`√(2)`

4
`√(2)`Sin(30) = x

4
`√(2)`* 1/2 = x

2
`√(2)` = x

and leave your answer for x like that as it's in it's exact form. :)

oh and I see the answer in the list.. do you? :)