Trigonometry help

Question

Angle  lies in quadrant II and . Find the exact values of the other two trigonometric ratios.

Answer 1

I'm guessing that it is asking for sinθ and tanθ.

For quadrant 2, sine is positive and tangent is negative.

For cosθ = -2/3, the hypotenuse is 3 and the adjacent side is -2

sinθ = opposite/hypotenuse. The opposite side = √(3² - (-2)²) = √5

sinθ = √5/3

tanθ = sinθ/cosθ = (√5/3)/(-2/3) = -√5/2