Question

Find cos(theta) if tan(theta) = (-2/3) and sin(theta) > 0

Answer 1

Find \[\cos \theta if \tan \theta = -2/3 and \sin \theta >0\]

Answer 2

Here, you know that the tangent is opp/adjacent. Since the sine is positive, it must be in either the first or second quadrant right?

Answer 3

Yes.

Answer 4

So the opposite leg must be positive, therefore since the tangent is negative the adjacent leg must be the negative one. So what quadrant is that?

Answer 5

Oh so you know o and a, you just need to find the h, and you can solve it :P

Answer 6

Yep.

Answer 7

Lets see what ya got when ya get it.

Answer 8

Thats 2nd quad

Answer 9

Okay:)

Answer 10

Yep.

Answer 11

\[\frac{ -3 }{ \sqrt{13}}\]

Answer 12

Thats it.

Answer 13

:D thank you!

Answer 14

No prob.

Answer 15

\[\frac{ x \sqrt{\left| x ^{2}-4 \right|} }{ x ^{2}-4 }-1>0\]

Answer 16

@Yasir_se wtf?