Question

1. Using the right triangle above, fill in the correct ratios for each trigonometric function. (do not simplify) numbers on the triangle: 77, 85, 36 (there is a right angle)

Answer 1

Below in bold.

Explanation:

sin S = opposite side / hypotenuse = 77/85

cos S = adjacent side / hypotenuse = 36/85

tan S = opposite side / adjacent side = 77/36.

Answer 2

see explanation

Explanation:

sin S =
`(opposite)/(hypotenuse)` =
`(TU)/(TS)` =
`(77)/(85)`

cos S =
`(adjacent)/(hypotenuse)` =
`(SU)/(TS)` =
`(36)/(85)`

tan S =
`(opposite)/(adjacent)` =
`(TU)/(SU)` =
`(77)/(36)`