Creators
Rojony Khatun Author
Rojony Khatun
CalculatorToolsProjectExpert
Reviewers
Małgorzata Koperska, MD Steven Wooding
Last updated: November 21, 2025

Trigonometric Ratios | Sin, Cos, Tan, Cot, Sec, Csc Calculator

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Trigonometric Ratios

Trigonometric Ratios

Calculate all trigonometric ratios—sine, cosine, tangent, cotangent, secant, and cosecant—for any angle in degrees or radians instantly.

sin cos tan cot sec csc calculator

A Trigonometric Ratio Calculator is a type of calculator where the user can key in an angle in terms of degrees or radians and live to compute all six ratios immediately. It also gives values of special angles like 0, 30, 45, 60, and 90, and allows decimal/fractional values. The device is easy to learn and solve trigonometric equations, and thus it can be used by students, teachers, engineers, anscientistssAcalculatorr saves time, minimizes errors, and gives immediate answers to homework, assignments, or in professional use.

trig ratio formula calculator

Trigonometric ratios are used to give a description of the relationship between angles and sides of a right-angled triangle. There are six basic ratios, which are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These ratios are necessary, ie, solving problems in geometry, physics, engineering, and navigation.

There is a Trigonometric Ratios Calculator that enables one to enter an angle in degrees or radians, and instantly calculate all six ratios. It can also give values of special angles like 0, 30, 45, 60, and 90 degrees and n decimal or fractions. The tool is easy to learn and solve trigonometric problems, and therefore, the tool applies to students, teachers, engineers, and scientists. The calculator saves time and minimizes errors because it gives immediate results to be used in homework, assignments, or work.

Work / Installation / Input / Output

Work

  • Computes sin, cos, tan, cot, sec, csc for a given angle.
  • Supports degrees and radians.
  • Handles special angles and decimal inputs.

InstallationNo installation required; works in any modern browser.

Input

  • Angle (degree or radian)

Output

  • Sine (sin)
  • Cosine (cos)
  • Tangent (tan)
  • Cotangent (cot)
  • Secant (sec)
  • Cosecant (csc)

Testing & Final Adjustments

Check the calculator on such angles as 0, 30, 45, 6 a, nd 90. Computation of reciprocal functions (csc, sec, cot) and undefined cases (tan 90, cot 0, etc.) should be correctly computed. Confirm degree to radian conversions. Money Check decimal and fractional. Ensure the responsiveness of desktop and mobile devices. Include clear error messages when there is an erroneous entry of the input value. Alternatively, a small-sized unit circle diagram can be used. Make a calculation with the positive as well as the negative angle to confirm. Maximize instant display of results in order to be fast and readable. Round off correctly and give a step-by-step explanation to serve pedagogue purposes.

Frequently Asked Questions - Trigonometric Ratios:

What are trigonometric ratios?

They are ratios of sides of a right triangle relative to an angle: sin, cos, tan, cot, sec, csc.

Which ratios are included?

Sine (sin), Cosine (cos), Tangent (tan), Cotangent (cot), Secant (sec), Cosecant (csc).

How do I calculate trig ratios?

Input an angle in degrees or radians to get all six ratios instantly.

What is sin 30°?

Sin 30° equals 1/2.

What is cos 45°?

Cos 45° equals √2/2.

What is tan 60°?

Tan 60° equals √3.

Are undefined values handled?

Yes, for example tan 90° or cot 0° are shown as undefined.

Can I use it for radians?

Yes, both degrees and radians are supported.

Who uses trig ratios?

Students, engineers, architects, and scientists.

Is this tool free?

Yes, it’s completely free and works online without installation.

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Rojony Khatun

Rojony Khatun

Calculator Tools Project

Rojony Khatun is the creator of a free online tools website designed to simplify everyday and engineering-related calculations for students, professionals, and hobbyists. The platform offers a wide variety of basic and advanced calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators, helping users solve problems quickly and accurately.