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Math function

SIN

Returns the sine of an angle in radians.

Rarely usedDifficulty 1100 · ProficientUsage rank #250 of 520
Practice · 2 questions →

When to use it

Sine of an angle given in radians. Wave shapes, seasonal curves, and vertical components of a direction.

The shape of it

Syntax
=SIN(number)

Worked examples

  • Peak

    =SIN(PI()/2) 1

    The peak.

  • From degrees

    =SIN(RADIANS(30)) 0.5

    Degrees converted first.

  • Origin

    =SIN(0) 0

    Zero at the origin.

Worth knowing

  • A seasonal factor: =1+0.2*SIN(2*PI()*(month-1)/12) peaks in April with amplitude 20%.
  • Vertical component of a force or velocity: magnitude*SIN(angle).
  • ASIN inverts it.

Where it goes wrong

  • Degrees in, garbage out. Convert with RADIANS.
  • SIN(PI()) is 1.22E-16 rather than exactly 0 because pi is stored to finite precision.

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