If sin0= 12 over 13 and cos0

Question

If sin0= 12 over 13 and cos0 < 0, what is tan0  ?
Will  give medal

nnesha · Answer

sin = ?
opposite hypotenuse adjacent ?

anonymous · Answer

guess that 0 is a $\theta$ right?

anonymous · Answer

Yes the whole problem didn't post

nnesha · Answer

anonymous · Answer

|dw:1430616764232:dw|

anonymous · Answer

find the third side via pythagoras or from memory
then the tangent is opposite over adjacent, although it is negative in this case

anonymous · Answer

@satellite73 do I add the sides

anonymous · Answer

oh no!

anonymous · Answer

$$a^2+12^2=13^2\
a^2=13^2-12^2$$ solve that for $a$

anonymous · Answer

let me know when you get $a^2=25$ so $a=5$

anonymous · Answer

I just did it I got 25 also

anonymous · Answer

|dw:1430617174083:dw|

anonymous · Answer

tangent is opposite over adjacent
make sure you put a minus sing in front, since you are told cosine is negative

anonymous · Answer

Thanks for the help @satellite73 :)

anonymous · Answer

lol yw

nnesha · Answer

so $$\huge\rm  cos \theta <0 $$
it can be in 3rd quadrant  ???

nnesha · Answer

|dw:1430618052289:dw|
remember $\huge\color{green}{{\rm CAST}}$ rule!