Question

Pleaseeerrr help
Find the exact value of sin j in simplest radical form

Answer 1

`sin(J)=(2√(14) )/(15)`

Explanation:

Sin is opposite over hypotenuse

Which can be written as

`sin(J)=(O)/(H)`

`A=13`

`O=√(56)`

`H=15`

`sin(J)=(O)/(H)`

`sin(J)=(√(56) )/(15)`

Lets put that in simplest radical form.

Rewrite
`56` as
`2^2*14`.

`sin(J)=(√(2^2*14) )/(15)`

Factor 4 out of 56.

`sin(J)=(√(4(14)) )/(15)`

Rewrite 4 as
`2^2`.

`sin(J)=(√(2^2*14) )/(15)`

Pull terms out from under the radical.

`sin(J)=(2√(14) )/(15)`