Answer:
±2 sqrt(2) / 3
Step-by-step explanation:
cos theta = adj / hyp
cos theta = 1/3
Using the Pythagorean theorem
a^2 + b^2 = c^2
opp ^2 + adj ^2 = hyp ^2
opp ^2 + 1 ^2 = 3^2
opp ^2 +1 = 9
opp ^2 = 9-1
opp ^2 = 8
Taking the square root of each side
opp = ± sqrt(8)
opp = ±2 sqrt(2)
sin theta = opp / hyp
= ±2 sqrt(2) / 3
