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Trigonometric Function Calculator Online

TAG math-tool

the precision of calculation result, from 0 - 15
side length a
side length b
side length c
angle θ
first dimension x
second dimension y
Calculate Formula
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Trigonometric Function Calculator Online-summary

Online trigonometric function calculator, supporting trigonometric and inverse trigonometric function calculations. Angle units support degrees and radians, and support setting result accuracy.

Trigonometric Function Calculator Online-instructions
  1. Trigonometric Functions are a class of functions in mathematics that are related to angles. They associate the measurement of an angle with the ratio of the side lengths of the right-angled triangle in which this angle is located, and are fundamental tools for studying triangles and periodic phenomena. The most basic trigonometric functions include sine, cosine, and tangent, as well as their reciprocals, namely cosecant, secant, and cotangent.
  2. Arc trigonometric functions are the inverse functions of basic trigonometric functions, used to solve the corresponding angle (or radian) from a given trigonometric function value. To address the non-injectivity issue caused by the periodicity of trigonometric functions, strict restrictions must be imposed on their domain and range to ensure that the functions are single-valued, continuous, and have inverse functions. The main categories include six functions: arc sine (arc sin), arc cosine (arc cos), arc tangent (arc tan), arc cotangent (arc cot), arc secant (arc sec), and arc cosecant (arc csc).
  3. The input for trigonometric functions is an angle value, and the output result is a ratio. The input of arc trigonometric function is a ratio, and the output result is an angle value.
  4. Type : Select the trigonometric function or arc trigonometric function that needs to be calculated.
  5. Angle Unit : Select the unit type for the input or output angle, with supported units including degrees (°) and radians (rad).
  6. Precision : Fill in the number of digits to be retained after the decimal point in the calculation result. It is allowed to be empty. The value range is 0 - 15.
  7. Based on the selected calculation type, the following input parameters may be available:
    1. θ : The input angle value is in the selected angle unit.
    2. v : The input ratio.
    3. x, y : The input coordinate values.
  8. List of supported trigonometric and arc trigonometric functions:
    Category Function Name Parameters Formula Description
    Trigonometric sin sine angle θ Input an angle and calculate its sine value
    cos cosine angle θ Input an angle and calculate its cosine value
    tan tangent angle θ Input an angle and calculate its tangent value
    sec secant angle θ Input an angle and calculate its secant value
    csc cosecant angle θ Input an angle and calculate its cosecant value
    cot cotangent angle θ Input an angle and calculate its cotangent value
    Arc Trigonometric asin arcsine ratio v   Input a sine ratio and calculate the angle
    acos arccosine ratio v   Input a cosine ratio value and calculate the angle
    atan arctangent ratio v   Input a tangent ratio to calculate the angle
    asec arcsecant ratio v   Input a secant ratio and calculate the angle
    acsc arcosecant ratio v   Input a cosecant ratio and calculate the angle
    acot arccotangent ratio v   Input a cotangent ratio value, and calculate the angle
    atan2 arctangent 2 x,y coordinate   Input an x, y coordinate and calculate the angle corresponding to the coordinate. The right quadrant of the computed angle can be determined.