Question

If sin Θ = negative square root 3 over 2 and π < Θ < 3 pi over 2, what are the values of cos Θ and tan Θ?

Answer 1

\[\sin \theta= -\sqrt{3/2} \]

Answer 2

The rest looks fine

Answer 3

are you sure it's not
\[ \sin\theta = - \frac{\sqrt{3}}{2} \]?

Answer 4

*facepalm* It's so sad that you're right, and you don't even get to see the problem. But yes, you are correct.

Answer 5

pi to 3pi/2 is the 3rd quadrant

draw a triangle in the 3rd quadrant, label the angle theta
and label the sides of the triangle knowing
sin x = opp/hyp

Answer 6

it should look like this