Trigonometric Ratios Calculator (Sin, Cos, Tan, Sec, Csc, Cot)

Calculate All Trigonometric Ratios

Use this calculator to get sine, cosine, tangent, secant, cosecant, and cotangent from right triangle side values. It is designed for quick ratio lookup and verification.

Right Triangle Trigonometry Formulas

Each ratio is computed from opposite, adjacent, and hypotenuse relationships around a selected acute angle. Reciprocal ratios are included so you can move between direct and inverse forms easily.

Which Mode To Pick: Pick the ratio from the sides you know: sine for opposite over hypotenuse, cosine for adjacent over hypotenuse, tangent for opposite over adjacent. All six ratios describe the same angle, so any one identifies it.

Where This Calculator Helps

• Converting slope-style side information into trig ratio values.
• Checking trigonometry assignments without manually reworking each fraction.
• Preparing ratio values for angle-finding or side-from-angle calculations.

Input Tips for Better Results

• Make sure opposite and adjacent sides are assigned correctly for the chosen angle.
• Ratios are unitless, so units cancel out as long as input units are consistent.
• For sine and cosine, the leg used in the numerator must be smaller than the hypotenuse.

Pro Tip: Compare tan(A) with sin(A)/cos(A) as a fast consistency check when debugging inputs.

How To Use This Calculator

1. Choose the tab that matches your known values before entering numbers.
2. Enter values in consistent units and verify that your triangle inputs are valid.
3. Review the calculated result, then cross-check with a related calculator when accuracy matters.
4. Use related pages such as Right Triangle Angle Calculator and Right Triangle Side Calculator Using Angle for advanced checks.

Calculator Modes Available

• Sine Ratio: For angle A, sine equals opposite over hypotenuse.
• Cosine Ratio: For angle A, cosine equals adjacent over hypotenuse.
• Tangent Ratio: For angle A, tangent equals opposite over adjacent.
• Cotangent Ratio: Cotangent is the reciprocal of tangent. Adjacent over opposite.
• Secant Ratio: Secant is the reciprocal of cosine. Hypotenuse over adjacent.
• Cosecant Ratio: Cosecant is the reciprocal of sine. Hypotenuse over opposite.

Common Mistakes and Quick Fixes

• Mixing units in a single calculation. Keep all values in one unit system before solving.
• Choosing a mode that does not match known inputs. Start with the closest mode to your available values.
• Rounding too early. Keep full precision until the final result output.
• Skipping verification. Recheck using one related calculator before using results in high-stakes work.