Question

Find the value of each trigonometric ratio

Answer 1

3.) Sin C = option D,
`(3)/(5)`

4.) Cos A = option C,
`(4)/(5)`

5.) Tan C = Option D,
`(4)/(3)`

Explanation:

3.) Sin C =
`(opposite)/(hypotenuse) = (27)/(45) = (3)/(5)`

4.) Cos A =
`(adjacent)/(hypotenuse) = (24)/(30) = (4)/(5)`

5.) Tan C =
`(opposite)/(adjacent) = (32)/(24) = (4)/(3)`

Hope this helps!

Answer 2

№3

`\sin C = (AB)/(AC) = (27)/(45) = (3 * 9)/(5 * 9) = (3)/(5)`

Answer: D (3/5).

№4

`\cos A = (AB)/(AC) = (24)/(30) = (3 * 4 * 2)/(3 * 5 * 2) = (4)/(5)`

Answer: C (4/5).

№5

`\tan C = (AB)/(BC) = (32)/(24) = (2 * 2 * 2 * 4)/(2 * 2 * 2 * 3) = (4)/(3)`

Answer: D (4/3).