# Solve for ? sin(x)=1/7 sin(x)=17
Take the inverse sine of both sides of the equation to extract x from inside the sine.
x=arcsin(17)
Evaluate arcsin(17).
x=0.14334756
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from π to find the solution in the second quadrant.
x=(3.14159265)-0.14334756
Simplify the expression to find the second solution.
Remove the parentheses around the expression 3.14159265.
x=3.14159265-0.14334756
Subtract 0.14334756 from 3.14159265.
x=2.99824508
x=2.99824508
Find the period.
The period of the function can be calculated using 2π|b|.
2π|b|
Replace b with 1 in the formula for period.
2π|1|
Solve the equation.
The absolute value is the distance between a number and zero. The distance between 0 and 1 is 1.
2π1
Divide 2π by 1.
The period of the sin(x) function is 2π so values will repeat every 2π radians in both directions.
x=0.14334756+2πn,2.99824508+2πn, for any integer n
Solve for ? sin(x)=1/7

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