Take the inverse sine of both sides of the equation to extract x from inside the sine.
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.
Simplify the expression to find the second solution.
Remove the parentheses around the expression 3.14159265.
Subtract 0.18485176 from 3.14159265.
Find the period of sin(x).
The period of the function can be calculated using 2π|b|.
Replace b with 1 in the formula for period.
The absolute value is the distance between a number and zero. The distance between 0 and 1 is 1.
Divide 2π by 1.
The period of the sin(x) function is 2π so values will repeat every 2π radians in both directions.
x=0.18485176+2πn,2.95674088+2πn, for any integer n
Solve for ? sin(x)=(90.4*9.8)÷4820