Solve sine, cosine, tangent values quickly. Track normalized angles, quadrants, reference angles, and exports easily today for lessons, revision, checks.
| Angle | Unit | sin(θ) | cos(θ) | tan(θ) |
|---|---|---|---|---|
| 30 | Degrees | 0.500000 | 0.866025 | 0.577350 |
| 45 | Degrees | 0.707107 | 0.707107 | 1.000000 |
| 60 | Degrees | 0.866025 | 0.500000 | 1.732051 |
| 1.570796 | Radians | 1.000000 | 0.000000 | Undefined |
Sine is y divided by r in a right triangle. Cosine is x divided by r. Tangent is y divided by x. On the unit circle, sine is the y-coordinate and cosine is the x-coordinate. Tangent equals sine divided by cosine. The identity sin²(θ) + cos²(θ) = 1 helps confirm accuracy.
Enter the angle value first. Choose degrees or radians next. Set the decimal precision you want. Press Calculate. The tool shows sine, cosine, tangent, cotangent, secant, cosecant, quadrant, normalized angle, and reference angle. Use the CSV or PDF buttons to save the displayed result table.
This calculator helps you find sine, cosine, and tangent for any angle. It works with degrees and radians. That makes it useful for students, teachers, and technical users. You can test values fast. You can also review extra outputs that explain the angle better.
The result area gives more than three trigonometric values. It also shows cotangent, secant, and cosecant. That saves time during homework and checking work. The calculator converts between degrees and radians too. It normalizes the angle into one full turn. This helps you compare equivalent angles easily.
Quadrant detection is important in trigonometry. Signs change by quadrant. This tool identifies the quadrant or axis position. It also shows the reference angle. That helps you understand why the sign of sine, cosine, or tangent changes. This is helpful when solving equations or sketching graphs.
Some angles are standard. Examples include 30°, 45°, and 60°. For those angles, exact values are common in textbooks. The calculator checks for such entries. When a match exists, it reports the familiar exact form. For all other inputs, it gives decimal values with your chosen precision.
This page supports practice and review. The example table gives quick guidance. The formula section explains the basic relationships. The export options help you save results for reports or notes. Because the layout is simple, the calculator stays easy to use on desktop, tablet, and mobile screens.
Tangent, secant, or cosecant may be undefined for some angles. The tool handles that clearly. It also checks the identity sin²(θ) + cos²(θ). That gives a quick accuracy signal. Small decimal differences can happen because computers round values. That is normal in numerical work.
It computes sine, cosine, and tangent for any angle. It also shows cotangent, secant, cosecant, angle conversion, quadrant, reference angle, and a quick identity check.
Yes. Choose radians from the unit menu. The calculator will still convert the angle and display both radians and degrees in the result table.
Tangent is sine divided by cosine. When cosine becomes zero, division is not possible. That is why tangent is undefined at angles like 90° and 270°.
A normalized angle is the equivalent angle reduced to one full turn. In degrees, that means placing the result between 0° and less than 360°.
The reference angle is the acute angle made with the x-axis. It helps determine trigonometric signs and compare values across different quadrants.
Yes, for several common standard angles. If the normalized angle matches a known value, the calculator displays familiar exact forms like √3/2 or √2/2.
Yes. Use the CSV button for spreadsheet-friendly data. Use the PDF button when you want a printable copy of the result table.
Yes. It is useful for verification, quick revision, and practice. It is best used to check your steps, not to replace learning the method.