If cosθ =1/3 , then sinθ = _____.

2 answers:

7 0

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.

bonufazy [111]3 years ago

7 0

Answer:

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

Step-by-step explanation:

I did the assignment.

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