We use cookies.This website uses essential cookies to operate core features. With your consent, we also use analytics cookies to understand traffic and improve the service. For more details, see our .
We use cookies.This website uses essential cookies to operate core features. With your consent, we also use analytics cookies to understand traffic and improve the service. For more details, see our .
Was this tool helpful to use?
Your feedback helps us make it better
Calculate six trigonometric functions from radian values with custom decimal precision.
Please select at least one function on the left
Overview
Understand what the tool solves, how it works, and the boundaries of its data.
Enter one numeric angle and choose degrees or radians. The calculator returns selected values for sine, cosine, tangent, cotangent, secant, and cosecant. Sine and cosine are the vertical and horizontal coordinates of the corresponding point on the unit circle; tangent is sine divided by cosine, while cotangent, secant, and cosecant are reciprocal ratios.
tan θ = sin θ ÷ cos θ
cot θ = 1 ÷ tan θ sec θ = 1 ÷ cos θ csc θ = 1 ÷ sin θ
radians = degrees × π ÷ 180
For example, at 30 degrees, sin θ = 0.5000, cos θ ≈ 0.8660, and tan θ ≈ 0.5774 at the default four decimal places. The calculator also has a curve view and a unit-circle view tied to the current angle and selected functions.
A full turn is 360 degrees or 2π radians. Therefore 30 degrees is π/6 radians, approximately 0.5236 radians. The input accepts a numeric value, not symbolic expressions: enter a decimal approximation such as 0.785398 for π/4, and select radians. Typing 45 while radians are selected means 45 radians, not 45 degrees.
Precision controls the number of displayed decimal places from 0 through 8. A rounded display value is useful for reading and copying, but it is not an exact symbolic form. When a denominator in a reciprocal function is zero, the function has no finite real value; very large displayed values near such angles should be interpreted carefully.
Guide
Follow the workflow and verify inputs and outputs with practical examples.
Type a number in the angle field. Use an ordinary decimal value; expressions such as pi/4 are not parsed.
Select degrees for common classroom angles or radians for unit-circle work. Verify the unit before interpreting any result.
Sine, cosine, and tangent are selected initially. Add or remove the reciprocal functions as needed, then choose 0 to 8 decimal places for the display.
Read each selected result and use the curve and unit-circle diagrams to relate the angle to the value. Copy an individual number when needed, retaining the function name and angle unit with it.
Use cases
See how the tool fits into real work and everyday tasks.
A student working with 30° can confirm the approximate sine, cosine, or tangent values, then compare the unit-circle position with a textbook diagram.
A programmer or analyst can enter a measured degree angle, switch to radians for a calculation context, and inspect the corresponding direct function values before using them elsewhere.
An instructor can vary the numeric angle and selected function to show how graph position relates to the unit circle. The output gives decimal approximations rather than a worked symbolic derivation.
Q&A
Find concise answers to common questions and confusing cases.
pi/4 or 3π/2?No. The angle field accepts a number, not a symbolic expression. Convert the expression to a decimal first and choose radians.
The same numeric input means different angles in degrees and radians. For instance, 30 means 30° in degree mode but 30 radians in radian mode; convert the value if you want to represent the same angle.
This calculator covers the six direct functions listed above. The angle input is used to calculate function values; it does not solve for an angle from a ratio.
Secant, cosecant, cotangent, and tangent divide by sine or cosine values. Near an angle where the denominator is zero, a ratio can grow very large; at the exact zero it has no finite real value.
Notes
Review scope, result limitations, and important precautions before use.
Displayed decimal values are rounded approximations; retain the input angle, unit, and function when using a copied result.
Related
Discover related tools, collections, and available API capabilities.