Question

Find cos θ if sin θ = -5/13 and tan θ > 0.

Answer 1

If sine is negative and tangent is positive, then cosine is ____?____
tangent=sine/cosine=negative/cosine=positive
=>cosine is ___?____

Answer 2

positive?

Answer 3

So negative/positive is positive
No...

Answer 4

no its negative

Answer 5

Right.
You want tangent to be positive not negative

Answer 6

positive

Answer 7

So you need cosine to be negative in order for tangent to be positive since sine is negative.

Answer 8

So we are in the (-,-) quadrant.

Answer 9

yea

Answer 10

correct

Answer 11

\[\sin( \theta)=-5/13 \text{ is given to you} \]

Answer 12

so then use pythagorean theorem to fine cosine

Answer 13

Find the other side using the Pythagorean thm.

Answer 14

which would end up being -12/13

Answer 15

the other side is 12 is what you are saying
and no i thought you were looking for cosine...

Answer 16

oops I labeled the triangle wrong a little bit.

Answer 17

i am