Dan V. answered • 05/01/16

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Licensed HS Math Teacher, 20 years experience

If theta is in Q2, I'll assume you mean that tan theta = -sqrt(3)/3 since tan theta is negative if theta is in Q2.

Also, since theta is in Q2, sin theta must be > 0.

Imagine a right triangle where the side opposite theta is sqrt(3) and the side adjacent to theta is -3.

Use the pythagorean theorem to find the hypotenuse.

Once you know the hypotenuse, sin theta = sqrt(3) / hypotenuse.

Brittany C.

05/02/16