# IMSIN

Formulas / IMSIN
Calculate the sine of a complex number.
`IMSIN(inumber)`
• number - required complex number

## Examples

• `=IMSIN("4+3i")`

The function returns the sine of a complex number. For example, the formula returns the sine of 4+3i, which is -3.8517.

• `=IMSIN(PI()/6)`

The function can also be used to calculate the sine of angles in radians. For example, the formula returns the sine of 30Â°, which is 0.5.

• `=IMSIN(SQRT(-1))`

The function can be used in combination with other functions. For example, the formula returns the sine of the imaginary number i, which is 1.22465e-16.

• `=IMSIN(A1:A5)`

The function can also be used to calculate the sine of a range of numbers. For example, this formula, where A1 to A5 contain the values 0, PI()/2, PI(), 3*PI()/2, and 2*PI(), respectively, returns an array of the sine values of those numbers, {0, 1, 0, -1, 0}.

## Summary

The IMSIN function calculates the sine of a complex number, taking the number formatted as x + yi or x + yj as input and returning a complex number as the result.

• The IMSIN function takes a complex number as input and returns a complex number as output.
• The IMSIN function calculates the sine of a complex number.