Question

I'm completely stuck on this... Like no idea how to even start.
"If cosθ = 4/7 and sinθ<0, find sinθ and tanθ"

Answer 1

1) draw a right triangle
2) label the "adjacent side" 4 and the hypotenuse 7

Answer 2

the picture is not really necessary but it helps
what is missing is the "opposite" side, which you find via pythagoras

Answer 3

so do I just use the Pythagorean Theorem to find the "opposite" side and the input for tan and sin?

Answer 4

yes, with the additional consideration about what quadrant you are in
when you get that the opposite sides is \(\sqrt{33}\) make sure to write
\[\sin(\theta)=-\frac{\sqrt{33}}{7}\] because you were told that \[\sin(\theta)<0\]

Answer 5

ah ok, so...