Question

Please please help me out

Answer 1

`(15)/(17)`

Explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

sin²x = 1 - cos²x

sinx =
`√(1-cos^2x)`

Hence

sinΘ =
`√(1-(8/17)^2)`

=
`\sqrt{1-(64)/(289) }`

=
`\sqrt{(225)/(289) }` =
`(15)/(17)`