If cos θ=–513 and sin θ

Question

If cos θ=–513 and sin θ < 0, what is tan θ ?
A. (12/5)
B.(13/5)
C. (-12/5)
D.(√194/5)

anonymous · Answer

here both cos and sin are -ve menas the angle is in third quadrant and henc tan must be positive ..
are you getting A ?

anonymous · Answer

The question is supposed to say if If cos θ=(–5/13) and sin θ < 0, what is tan θ ?

anonymous · Answer

Yes I know it is supposed to be positive I just have no idea how to calculate the actual answer.

jim_thompson5910 · Answer

Draw a right triangle and add in the angle $\Large \theta$ (pronounced theta)

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jim_thompson5910 · Answer

cos θ = –5/13 is given to us

in general, cosine is adjacent/hypotenuse

so...

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I'm making every side positive since these are lengths of the sides of a triangle