Question

Find the sin with only the Cos (Cos=12/20)

Answer 1

sin =
`(16)/(20)`

Explanation:

given

cos =
`(12)/(20)` =
`(adjacent)/(hypotenuse)`

this is a right triangle with hypotenuse = 20 and adjacent = 12

using Pythagoras' identity to find the side opposite (opp ) , then

opp² + 12² = 20²

opp² + 144 = 400 ( subtract 144 from both sides )

opp² = 256 ( take square root of both sides )

opp =
`√(256)` = 16

then

sin =
`(opposite)/(hypotenuse)` =
`(16)/(20)`