Question

If sin 0=3/5, then cos 0=

Answer 1

`(4)/(5)`

Explanation:

Given

sinΘ =
`(3)/(5)` =
`(opposite)/(hypotenuse)`

Then the hypotenuse = 5 and one leg of the right triangle is 3

Using Pythagoras' identity to find the second leg (x)

x² + 3² = 5²

x² + 9 = 25 ( subtract 9 from both sides )

x² = 16 ⇒ x = 4

cosΘ =
`(adjacent)/(hypotenuse)` =
`(4)/(5)`