Question

If cosθ =1/3 , then sinθ = _____.

Answer 1

We are given:  cos theta = 1/3.  Thus, adj side = 1 and hyp = 3.  Using the Pythagorean Theorem to find the length of the opposite side, represented by x.  

1^2 + opp^2 = 3^2, or 1 + x^2 = 9, or x^2 = 8.  Here, x could be either sqrt(8) or -sqrt(8):  sqrt(8) if angle theta is in QI, and -sqrt(8) if in QIV.

Thus, the sine of angle theta could be either sqrt(8)/3 or -sqrt(8)/3.

Answer 2

Answer:

I'm pretty sure the answer for this is ±$\frac{2\sqrt{2} }{3}$

Step-by-step explanation:

I did the assignment.