Question

@Nnesha

Answer 1

Find \(\large\sf sin\theta~ if ~cot\theta~ =~ -2 ~and ~cos\theta~ <~ 0.\)

Answer 2

\[\cot(x) = \frac{ \cos(x) }{ \sin(x) }\]

Answer 3

\[-2*\sin(x) = \cos(x)\]

Answer 4

sin(x) = -(1/2) cos(x)

Answer 5

draw a triangle in the correct quadrant.
It helps to remember that cos can be thought of as the "x value" and sin as the "y value"

Answer 6

notice that the easiest way to get x/y = -2 is make x -2, and then y=1
with those numbers, figure out they hypotenuse. you get sqr(1^2 + (-2)^2) = sqr(5)

now you can write down the sin or cos. sin = y/hyp

Answer 7

Thank you all for the help!