Sin Cos Tan Calculator
Enter an angle in degrees or radians and get all six trig ratios — sine, cosine, tangent and their reciprocals cosecant, secant and cotangent.
How it works
sin θ, cos θ, tan θ = sin θ ÷ cos θ · csc θ = 1 ÷ sin θ · sec θ = 1 ÷ cos θ · cot θ = cos θ ÷ sin θ
The three primary ratios come straight from a right triangle: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent, which equals sin ÷ cos. The other three are their reciprocals. Wherever the denominator hits zero — tangent and secant at 90°, cosecant and cotangent at 0° — the ratio is undefined rather than infinite, because you can’t divide by zero.
Worked example
For 30°, convert to radians (30 × π ÷ 180 ≈ 0.5236). sin 30° = 0.5, cos 30° ≈ 0.866025, and tan 30° = 0.5 ÷ 0.866025 ≈ 0.577350. The reciprocals follow: csc 30° = 2, sec 30° ≈ 1.154701, cot 30° ≈ 1.732051.
Sources: Trigonometric functions — Wikipedia
Frequently asked questions
Why is tan 90° undefined instead of infinity?
Tangent is sin ÷ cos, and cos 90° = 0. Dividing a nonzero number by zero has no value, so the tangent is undefined. The graph shoots off toward ±∞ on either side but never lands on a number there.
How do I switch between degrees and radians?
Radians = degrees × π ÷ 180, and degrees = radians × 180 ÷ π. A full circle is 360° or 2π radians. Use the unit selector so the calculator interprets your angle correctly.
What are csc, sec and cot for?
They are the reciprocals of sin, cos and tan and show up when a formula is easier to write the other way up — for example, integrals of sec and csc, or resolving forces where a length divides a projection.
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This calculator is for educational purposes. Double-check important results before acting on them.