sin(x)=90.4⋅9.8÷4820

Take the inverse sine of both sides of the equation to extract x from inside the sine.

x=arcsin(0.18380082)

Evaluate arcsin(0.18380082).

x=0.18485176

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)-0.18485176

Remove the parentheses around the expression 3.14159265.

x=3.14159265-0.18485176

Subtract 0.18485176 from 3.14159265.

x=2.95674088

x=2.95674088

The period of the function can be calculated using 2π|b|.

2π|b|

Replace b with 1 in the formula for period.

2π|1|

The absolute value is the distance between a number and zero. The distance between 0 and 1 is 1.

2π1

Divide 2π by 1.

2π

2π

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