SIN in Zoho Sheet: Sine, Bearings and Seasonal Formulas
Learn the exact Zoho Sheet SIN syntax, convert degrees correctly, and build useful sine-wave, bearing and projection examples.
Verification status: Official documentation referenced; example outcomes independently reasoned or arithmetically checked where stated. Not executed in Zoho Sheet. How formula examples are checked
Zoho Sheet SIN: formula, examples and advanced applications
Quick answer: =SIN(PI()/2) is mathematically 1. =SIN(RADIANS(30)) is 0.5. Zoho’s SIN accepts an angle in radians, not degrees. For degree-based source data, wrap it in RADIANS() or multiply by PI()/180 before calling SIN.
Sine describes a coordinate on the unit circle and the oscillation of periodic signals. In practical spreadsheet models it can convert a known heading and distance into an eastward component, calculate a wave-like fluctuation in sales volume, or describe cyclic movement. The output ranges between -1 and 1 for real angles, though floating-point values can carry tiny representation errors. Sine does not return an angle; use ASIN for a principal inverse angle when appropriate.
Exact syntax and arguments
=SIN(angle)
| Argument | Required | Meaning |
|---|---|---|
angle |
Yes | Numerical input angle in radians. Zoho’s own examples include 0.3, -0.9, and 1/2. To use a number expressed in degrees, write SIN(RADIANS(degrees)). |
In the checked Zoho SIN reference, official examples include =SIN(0.3) = 0.295520207 and =SIN(-0.9) = -0.78332691. These are not 0.3 degrees or -0.9 degrees.
Worked table with a degree-based dataset
Import angles-practice.csv. The input degree angles are in column B. Column C is a Python-generated radian reference, and D contains a short description. In G2 type =SIN(RADIANS(B2)) and fill down. For an audit comparing radian inputs, =SIN(C2) should be mathematically comparable; all numerical expected results below are independently calculated, not Zoho screenshots.
| Row | B: degrees | Zoho formula | Independently expected result |
|---|---|---|---|
| 2 | -180 | =SIN(RADIANS(B2)) |
≈ 0 |
| 3 | -90 | =SIN(RADIANS(B3)) |
-1 |
| 4 | -45 | =SIN(RADIANS(B4)) |
-0.707106781 |
| 5 | 0 | =SIN(RADIANS(B5)) |
0 |
| 6 | 30 | =SIN(RADIANS(B6)) |
0.5 |
| 7 | 45 | =SIN(RADIANS(B7)) |
0.707106781 |
| 8 | 60 | =SIN(RADIANS(B8)) |
0.866025404 |
| 9 | 90 | =SIN(RADIANS(B9)) |
1 |
| 10 | 120 | =SIN(RADIANS(B10)) |
0.866025404 |
| 11 | 180 | =SIN(RADIANS(B11)) |
≈ 0 |
| 12 | 270 | =SIN(RADIANS(B12)) |
-1 |
| 13 | 360 | =SIN(RADIANS(B13)) |
≈ 0 |
For an audit, check the landmarks first: 30° → 0.5; 90° → 1; -90° → -1. Note that π radians is a sine zero in exact mathematics, but a floating-point program may compute a number of magnitude roughly 1e-16. This is why labels say “≈ 0” at near-zero landmarks rather than claiming exact native output.
To express sine as a percentage-like amplitude, multiply it by an appropriate magnitude. A direct SIN value is unitless, so do not label 0.5 as “0.5 metres” unless it has been multiplied by a distance measured in metres.
Advanced example 1: eastward displacement from a compass bearing
With a 30° bearing clockwise from north and a movement of 12 km, the east component is =12*SIN(RADIANS(30)) = 6 km. Put bearing degrees in B2, distance in C2 and type =C2*SIN(RADIANS(B2)). The north component is =C2*COS(RADIANS(B2)); together they make a two-dimensional displacement under the stated bearing convention. If headings are measured counterclockwise from the eastward x-axis instead, sine and cosine roles differ.
This example is useful for route projections and basic coordinate checks; it is not a substitute for accurate geodesic navigation, where latitude, longitude and earth curvature matter. Distances must be in the same unit when combined.
Advanced example 2: seasonal demand model
For a made-up baseline demand of 100 units, amplitude 20, and a 12-period cycle, enter =100+20*SIN(2*PI()*B2/12) with period index in B2. Independently expected values are 100 at period 0, 120 at period 3, 100 at period 6, and 80 at period 9 (modulo tiny floating-point residue). The quantity 2π makes a full cycle; B2/12 expresses which fraction of a cycle has elapsed.
This is a synthetic illustrative model, not a forecast validated against sales. A genuine forecast needs fitted amplitude, phase, trend and uncertainty; copying the function alone does not establish future customer demand.
Edge cases and debugging
| Issue | Explanation |
|---|---|
SIN(30) does not return 0.5 |
It reads 30 radians. Instead use SIN(RADIANS(30)). |
| Negative sine | It is valid for much of the unit circle, including -90 degrees. It does not automatically imply negative physical distance. |
SIN(PI()) displays a tiny nonzero value |
Expected from finite numerical precision. For display comparisons use a tolerance or ROUND(...;9), not an exact floating-point equality check. |
#VALUE! |
Zoho describes this for invalid argument types. Numeric text with appended degree symbols can trigger a type problem. |
#NAME! |
Check SIN spelling and properly matched formula parentheses. |
| Sinusoidal peaks occur in the wrong months | Your phase, period denominator, or time-unit convention is wrong; changing SIN to COS changes phase but does not fit an actual seasonal series. |
| A large angle is supplied | The sine is periodic; multiple revolutions are allowed mathematically and can suffer numerical reduction/precision effects at extreme magnitudes. Zoho’s specific extreme-input limits were not established. |
Common pitfall: the sine output is an amplitude ratio, not an angle or a unit conversion. Keep the units of the input angle and the amplitude parameter visible in labels.
Verified cross-software reference for this function
Excel trigonometry function listing includes SIN, while Zoho explicitly says its argument is in radians; do not assume locale parsing or floating-point edge cases are interchangeable.
How this compares with Excel and Google Sheets
Microsoft Excel documents related functions with comma-delimited examples in an English-language setting, while the checked Zoho Sheet help uses semicolons where multiple arguments occur. Spreadsheet separators can be affected by application and locale settings; do not blindly paste a formula across products without checking the target editor. Shared mathematics does not prove that all data-type coercion, numerical precision, errors, locales, or desktop/mobile support are identical. Where a relevant Microsoft help page is linked below, it establishes only the Excel behaviour specifically described there. Google Sheets may offer the same named function, but that name alone is not a native Zoho compatibility test.
Official reference and verification
Verification status: Official documentation checked; example outcomes were independently reasoned or arithmetically checked where applicable. Not executed in Zoho Sheet.
- No genuine Zoho Sheet screenshots are included; this guide does not use mock application images.