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Engineering function
IMSIN
Returns the sine of a complex number.
Rarely usedDifficulty 1500 · AdvancedUsage rank #500 of 520
When to use it
The sine of a complex number.
The shape of it
- Syntax
=IMSIN(inumber)
Worked examples
Typical
=IMSIN("4+3i") → -7.61923172032141-6.548120040911i
A typical result.
Zero
=IMSIN("0") → 0
At zero.
Pure imaginary
=IMSIN("i") → 1.1752011936438i
sin(i) is i sinh(1).
Worth knowing
- sin(x+iy) = sin x cosh y + i cos x sinh y.
- Result is text.
- Grows without bound along the imaginary axis.
Where it goes wrong
- #VALUE! for invalid text.
- Large imaginary parts overflow.
Related
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