Rainerh305
Rainerh305 Rainerh305
  • 13-06-2017
  • Mathematics
contestada

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

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MoSikder
MoSikder MoSikder
  • 13-06-2017
[tex] \frac{sin\theta}{cos\theta}=tan\theta [/tex]

[tex]cos\theta= -\frac{2}{5} [/tex]

[tex]tan\theta\ \textgreater \ 0[/tex]

Therefore

[tex] \frac{sin\theta}{ -\frac{2}{5} } \ \textgreater \ 0[/tex]

[tex] -\frac{5sin\theta}{2}\ \textgreater \ 0 [/tex]

[tex]sin\theta\ \textless \ 0[/tex]

Therefore [tex]sin\theta[/tex] is any value less than 0


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