Question

If cos θ = -2/5 and tan θ > 0, what is the value of sin θ?

Answer 1

`(sin\theta)/(cos\theta)=tan\theta`


`cos\theta= -(2)/(5)`


`tan\theta\ \textgreater \ 0`

Therefore


`(sin\theta)/( -(2)/(5) ) \ \textgreater \ 0`


`-(5sin\theta)/(2)\ \textgreater \ 0`


`sin\theta\ \textless \ 0`

Therefore
`sin\theta` is any value less than 0