The IMSIN function returns the sine of a complex number in x + yi or x + yj text format

**Syntax**:= IMSIN ( inumber )

The IMSIN function syntax has the following arguments:

**Inumber**: Required. A complex number for which you want the sine

**Example**: Let’s look at some Excel IMSIN function examples and explore how to use the IMSIN function as a worksheet function in Microsoft Excel:

**Syntax**: =IMSIN(A2)

**Result**:

Based on the Excel spreadsheet above, the following IMSIN examples would return:

**Syntax**: =IMSIN(A3)**Result**: 3.16577851321617-1.95960104142161i

**Syntax**: =IMSIN(A4)**Result**: -1132.0636335269-3890.1701494988i

**Syntax**: =IMSIN(A5)**Result**: 0.923490776043173+0.941504933270867i

**Syntax**: =IMSIN(A6)**Result**: -7.61923172032141-6.548120040911i

**Syntax**: =IMSIN(A7)**Result**: 13244561064.9217i

**Syntax**: =IMSIN(A8)**Result**: 4.14906961162593-9.12758900613892i

**Syntax**: =IMSIN(A9)**Result**: -56.1622742202323-48.5024552417709i

**Syntax**: =IMSIN(A10)**Result**: -8364.8815706259-28744.6858987948i

**Syntax**: =IMSIN(A11)**Result**: -78034.7601576553-23083.6899133917i

**Syntax**: =IMSIN(A12)**Result**: -131970054.285846+203544151.183584j

**Syntax**: =IMSIN(A13)**Result**: -11207817817.4808-7057139475.21237i

**Note**:

- Complex Numbers in Excel are simply stored as text.
- When a text string in the format “a + bi” or “a + bj” is supplied to one of Excel’s built-in Complex Number Functions, this is interpreted as a complex number.
- The complex number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.
- Use COMPLEX to convert real and imaginary coefficients into a complex number.
- If inumber is not recognized as a complex number, IMSIN returns the #NUM! error.
- If inumber is a logical value, IMSIN returns the #VALUE! error
- The sine of a complex number is: