Trigonometry Calculator
sin, cos, tan and the whole gang โ type an angle and get every ratio without cracking a textbook.
๐ How it works & FAQWhat this calculator does
Enter an angle and this tool returns its six trigonometric ratios: sine, cosine, and tangent, plus their reciprocals cosecant, secant, and cotangent. It also runs the inverse functions, so if you already have a ratio, you can work backward to the angle that produced it. You choose whether your angle is measured in degrees or radians, which matters more than most people expect: sin(90) is 1 in degrees but roughly 0.894 in radians.
When you'd actually use it
Trig ratios show up any time a right triangle is hiding inside a problem. Students checking homework use it to confirm SOH-CAH-TOA answers. Woodworkers and DIYers use tangent to figure out a rafter angle or a ramp's rise over run. Someone laying out a garden bed uses cosine to find a diagonal. Physics and engineering problems lean on it for resolving forces and vectors into horizontal and vertical components. The inverse functions are handy in reverse: you measured the two legs of a triangle and need the angle between them, so you feed the ratio into arctangent.
A quick worked example
Say a ladder leans against a wall at 75°. To find how far its base sits from the wall relative to its length, take cos(75°) ≈ 0.259 โ so the base is about a quarter of the ladder's length out from the wall. Need the angle instead? If the base is 3 ft out and the ladder is 12 ft long, cos of the angle is 3 ÷ 12 = 0.25, and arccos(0.25) ≈ 75.5°.
How to use it
- Pick your unit โ degrees or radians โ before typing anything, since it changes every result.
- Type your angle into the input field (for inverse functions, enter the ratio value instead).
- Read off sine, cosine, tangent, and the three reciprocals, or the inverse result if you're solving for an angle.
- Change the angle and the values update instantly โ no button-mashing needed to compare a few angles.
FAQ
- Why does tangent sometimes show an error or "undefined"?
- Tangent is sine divided by cosine, and cosine is zero at 90°, 270°, and so on. Dividing by zero has no value, so tangent is genuinely undefined there rather than a huge number.
- How do I convert between degrees and radians myself?
- Multiply degrees by π/180 to get radians, or multiply radians by 180/π to get degrees. A full circle is 360° or 2π radians.
- Is anything sent to a server?
- No. The math runs entirely in your browser, so nothing you type ever leaves your device.
- Is it free?
- Yes, it's free and supported by the ads on the page.