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)

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

Draw a right triangle and add in the angle \(\Large \theta\) (pronounced theta)

Answer 5

cos θ = –5/13 is given to us

in general, cosine is adjacent/hypotenuse

so...



I'm making every side positive since these are lengths of the sides of a triangle