Approximate the solutions to the following equation on the interval [0,2π). Round your answer to four decimal places.

Question

Approximate the solutions to the following equation on the interval [0,2π). Round your answer to four decimal places.
sinθ=0.65

Apparently, there suppose to be two answers to this question with a comma separating​ both answers. I know because I've failed it and I'm on my 2nd attempt. I literally do not know what this question is and how to go about finding the solution. I don't know where to start. Can someone please show a step-by-step solution. I have 10 more of this sort of questions to solve, so a step-by-step solution would be nice. ​THANKS.

Scott · Answer

you want the sin⁻¹ function on your calculator sin⁻¹(0.65) = Θ = .7076 , 2.4340

chizoba · Answer

THANK YOU Scott. I did the reverse sin to get .7076 in my calculator. How did you get 2.4340? Sorry if this question should be obvious to me.

Steve · Answer

2.4340 = π - .7076 sin(x) is positive in QI and QII