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: