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

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

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.

2π

2π

2π

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