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    Solve the equation 1+3sin(x)=2 for 0<x<360
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    (Original post by dan_585)
    Solve the equation 1+3sin(x)=2 for 0<x<360
    What part are you struggling with?
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    Rearrange for sin(x)
    3sin(x) = 1
    sin(x) = 1/3

    Use your CAST diagram to find positive roots, which are the 1st and 2nd quadrants

    First root is simply arcsin(1/3) and then the second root is 180 - arcsin(1/3)

    If the root was within the 3rd quadrant you'd do 180 + arcsin(1/3)
    If the root was within the 4th quadrant you'd do 360-arcsin(1/3)

    Plotting a rough sin graph can be useful for visualising these concepts
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    (Original post by CompSci in2k17)
    Rearrange for sin(x)
    3sin(x) = 1
    sin(x) = 1/3

    Use your CAST diagram to find positive roots, which are the 1st and 2nd quadrants

    First root is simply arcsin(1/3) and then the second root is 180 - arcsin(1/3)

    If the root was within the 3rd quadrant you'd do 180 + arcsin(1/3)
    If the root was within the 4th quadrant you'd do 360-arcsin(1/3)

    Plotting a rough sin graph can be useful for visualising these concepts
    Thanks that was really helpful
 
 
 
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