Question

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answer 1

13.3 = t

31.3= s

Explanation:

Remember that sinθ =
`(opposite)/(hypotenuse)`, cosθ =
`(adjacent)/(hypotenuse)`, and tanθ =
`(opposite)/(adjacent)`. (A good mnemonic to remember this is SOH-CAH-TOA).

Knowing this is true, we can solve for t and s.

sin(23°) =
`(t)/(34)`

34sin(23°) = t

13.3 = t

cos(23°) =
`(s)/(34)`

34cos(23°) = s

31.3= s