find all solutions: 1/3*sintheta=√2/3

Question

Im confused on this question how would i start and i what would i do from there to get the answer?

Answer 1

Your equation has NO SOLUTION.  Unless the left side should have been 1/(3sin θ), which requires grouping on the entire denominator.

 

As it is, it's equivalent to sin θ = √2, which has no solution.  

 

Also, for complete clarity, is the right side supposed to be square root of (2/3) or is it one third of square root of 2?

(Neither one has a solution, anyway).