Question

If cos Θ = -2/5 and tan Θ > 0, what is the value of sin Θ? would it be negative square root of 21 over 5, or would it be the positive square root of 21 over 5? Medal given!!

Answer 1

cos = adj/hyp

Answer 2

so -2 would have to be 2 if tan value was more lthan 0

Answer 3

so it should be positive root 21 / 5

Answer 4

Woops. I think you've got that mixed up crash :o

Tangent is positive
cosine is negative

So we're in quadrant 3.
We should end up with a negative value for our sine.

Answer 5

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooowops sorry

Answer 6

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

For tan(x) > 0, if cos(x) is negative, then sin(x) has to be negative, so that negative will cancel other negative and make tan(x) positive.. :)