Question

If tan theta =12/5 and cos theta < 0, what is sin theta ?

A.

12



b. 5/13
c. -15/13
d. 12/13
e.-12/13

Answer 1

\[\tan \theta= \frac{ \sin \theta }{ \cos \theta } \]

Answer 2

how do you find cos theta?

Answer 3

\[\cos \theta <0 so \sin \theta <0\]

Answer 4

no need to find cos theta, let me explain

Answer 5

we now know that sin theta is less than 0 so we narrow the answers down to c or e

Answer 6

but 15 cannot show up since the legs are 5,12 and the hypotenuse is 13

Answer 7

so e is your answer！ You see, you don't need to find cos theta

Answer 8

simple elimination works, since it's a multiple choice question

Answer 9

oh gotcha! i underestand. i just over confused myself. thank you :)

Answer 10

can you help with one last one?