Trigonometry Calculator

Calculate trigonometric functions, solve triangles, and convert angles

Trigonometry Calculations

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Calculate sin, cos, tan, and their reciprocals

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Your trigonometric calculations

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About Trigonometric Calculations

Trigonometric Functions

  • sin(θ): Opposite / Hypotenuse
  • cos(θ): Adjacent / Hypotenuse
  • tan(θ): Opposite / Adjacent
  • csc(θ): 1 / sin(θ)
  • sec(θ): 1 / cos(θ)
  • cot(θ): 1 / tan(θ)

Triangle Solving

  • Right Triangle: Use Pythagorean theorem and basic trig functions
  • Oblique Triangle: Use Law of Sines and Law of Cosines
  • Law of Sines: a/sin(A) = b/sin(B) = c/sin(C)
  • Law of Cosines: c² = a² + b² - 2ab·cos(C)

Angle Conversion

  • Degrees to Radians: multiply by π/180
  • Radians to Degrees: multiply by 180/π
  • Common Values: 30° = π/6, 45° = π/4, 60° = π/3, 90° = π/2

Frequently Asked Questions

What are sine, cosine, and tangent?

In a right triangle, sine is opposite/hypotenuse, cosine is adjacent/hypotenuse, and tangent is opposite/adjacent. These ratios depend only on the angle, not triangle size.

How do I convert between degrees and radians?

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.

What is the Pythagorean theorem?

For a right triangle with legs a and b and hypotenuse c, a² + b² = c². It relates the three sides and is fundamental to most trigonometric identities.

How do you solve a triangle?

If you know three of the six parts (sides and angles), you can usually find the rest using the law of sines or law of cosines, depending on which parts are known.

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