Question

If tan theta =12/5 and cos theta =-5/13, then what is sin theta?

Answer 1

@peachpi

Answer 2

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

Answer 3

i am confused

Answer 4

@Michele_Laino totally missed that. Much simpler than what I was going to do

Answer 5

how do i go on from there

Answer 6

what @Michele_Laino has posted is an identity for tan. From here you plug in your numbers and solve for sin Θ

Answer 7

ok! please continue @peachpi

Answer 8

the answer i got is 12/13

Answer 9

im not sure what i did, is that correct

Answer 10

you should have gotten a negative number

Answer 11

you're missing a negative sign.

Answer 12

so the answer would be -12/13???

Answer 13

yes

Answer 14

i just did the question again and got -5/13..... i am overthinking the problem i think

Answer 15

so the answer is -12/13