SOLUTION: How would I find all the solutions if I have only been given the equation sinx=1/(4sinx) and told it is between [0, 2[pi])

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Question 278403: How would I find all the solutions if I have only been given the equation sinx=1/(4sinx) and told it is between [0, 2[pi])
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Multiply both sides by sin(x) to go from to . From there, take the square root of both sides to get which essentially breaks down to or


So your task is to solve the two equations and for 'x'. Just take the inverse sine of both sides. Keep in mind that multiple values of 'x' satisfy each equation.