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

Find the value of each variable using sine and cosine. Round your answers to the nearest-example-1
User Tom Moers
by
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1 Answer

12 votes

Answer:

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