Math & Trig

SIN Formula

SIN returns the sine of an angle given in radians. Sine represents the y-coordinate on the unit circle and is fundamental in trigonometry, wave calculations, oscillation modeling, and any problem involving periodic or circular motion. Remember that the input must be in radians — use RADIANS() to convert from degrees.

Syntax

SIN(number)
ParameterDescription
number Parameter of the SIN function.
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Examples

Sine of 90 degrees

Formula
=SIN(PI()/2)
Returns 1. The sine of π/2 radians (90°) is 1 — the peak of the sine wave.

Sine of 30 degrees

Formula
=SIN(RADIANS(30))
Returns 0.5. The sine of 30° is exactly 0.5 — a common reference angle in trigonometry.

Wave calculation

Formula
=5*SIN(2*PI()*A1/12)
If A1 is a month number (1-12), this produces a sinusoidal wave with amplitude 5 and period 12 — useful for modeling seasonal patterns.

Common Errors

#VALUE!

Non-numeric input returns #VALUE!. The argument must be a number (in radians).

Tips

Input is RADIANS

SIN expects radians, not degrees. SIN(90) does NOT give 1 — that's 90 radians. Use =SIN(RADIANS(90)) for degrees.

Seasonal modeling

Model seasonal data with =amplitude*SIN(2*PI()*(period_position-phase)/period_length). Adjust phase to shift the peak.

Key values to remember

SIN(0)=0, SIN(π/6)=0.5, SIN(π/4)≈0.707, SIN(π/3)≈0.866, SIN(π/2)=1. These are the standard reference angles.

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