Question

Please help? Can somebody explain to me how to do this problem? If tan(x) = -2/3 and x is in quadrant 4, calculate sin(2x)

Answer 1

My answer is supposed to be in simplified fraction form, I don't know if that matters or not but just in case there is some confusion I thought I'd let you guys know. Please help me, I am extremely lost!

Answer 2

in quadrant 4 the angle will have this form, got me?

Answer 3

yes, I see

Answer 4

got it?

Answer 5

yeah I'm with you

Answer 6

so, AB =2, OA = 3 right?

Answer 7

I would say so

Answer 8

therefore, OB = \(\sqrt{2^2 +3^2}=\sqrt {13}\)