=COS(angle)

The directly checked Zoho COS function guide gives =COS(0.3) = 0.955336489, =COS(-0.9) = 0.621609968 and =COS(1/2) = 0.877582562. Its examples are not in degrees. Output is a dimensionless ratio, and positive/negative results depend on the quadrant.

Import angles-practice.csv with degrees in B and independently calculated radians in C. Put =COS(RADIANS(B2)) in column H and fill through H13. As an independent mathematical check, calculate cosine of the same stored radian reference with =COS(C2) after confirming the cells contain genuine numbers.

The familiar checkpoints are 0° → 1; 60° → 0.5; 90° → approximately 0; and 180° → -1. A result at 90 degrees may contain a tiny positive floating-point residue; presenting it as “≈ 0” is more accurate than promising an exact native integer zero.

To compare a numeric model with a target angle from another source, check whether both use degrees or radians. A common spreadsheet error is applying conversion twice (COS(RADIANS(RADIANS(60)))), which produces an incorrect answer without necessarily triggering a formula error.

A force of 50 newtons acting at 60 degrees counterclockwise from the positive x-axis has an x-component of =50*COS(RADIANS(60)), independently 25 N. Its y-component is =50*SIN(RADIANS(60)), approximately 43.301270189 N. Use a sign convention consistent with your engineering coordinate system; COS does not know which physical axis or direction you mean.

In a table with magnitude B2 and angle C2, type =B2*COS(RADIANS(C2)). The component can be negative when a force points toward the negative x-axis. Interpreting the sign as a spreadsheet error could erase important physical information.

To model a repeating illustrative 12-period cycle with centre 50 and amplitude 10, use =50+10*COS(2*PI()*B2/12), where B2 is a period number. The expected outputs are 60 at period 0, 50 at period 3, 40 at period 6, and 60 again at period 12. COS peaks at phase zero, unlike SIN, which crosses its midline at phase zero.

This is a synthetic demonstration of phase, not a data-fitted demand prediction. When using real operations data, fit period, phase, average and amplitude to observations and validate the model out of sample.

Precision note: COS(π/2) and SIN(π) are mathematically zero but numerical implementations may not display exact zero. This is especially relevant when using IF(COS(...)=0;...;...) logic; instead compare absolute value against an appropriate tolerance.

Verified cross-software reference for this function

Excel functions by category lists COS; Zoho independently documents its radian input. Exact error behaviour on extreme values and app-specific rounding remain untested.

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.

• Zoho Sheet — function documentation

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.