Trigonometry Calculator

  • Tan-1 (Arctangent) Calculator
    Free arctangent calculator. Enter any value x to find tan-1(x) = atan(x), the inverse tangent, instantly in both degrees and radians.
  • Triangle Area from Coordinates Calculator
    Find the area of a triangle from the (x, y) coordinates of its three vertices using the Shoelace formula. Free, instant, and shows orientation.
  • Triangle Angles from Three Sides Calculator
    Compute all three interior angles of a triangle from its side lengths, in decimal degrees and degrees-minutes-seconds, plus the height and area via Heron's formula.
  • Spherical Hankel Function Table Calculator
    Tabulate spherical Hankel functions of the first and second kind h_v(x) and their derivatives, with real and imaginary parts and magnitude, over a range of x.
  • Point Rotation Calculator
    Rotate a 2D point around any center by a given angle. Computes new coordinates using x' = x cosθ − y sinθ, y' = x sinθ + y cosθ.
  • Angle and Hypotenuse from Base and Height
    Compute the inclination angle (in decimal degrees and DMS) and the hypotenuse of a right triangle from its base and height legs. Free trig calculator.
  • Base & Hypotenuse to Angle and Height Calculator
    Find a right triangle's inclination angle (decimal degrees and D M S) and height from the base and hypotenuse using cos and the Pythagorean theorem.
  • Direction of the Vector Calculator
    Find the direction angle of a 2D vector from its x and y components using θ = atan2(y, x). Get the angle in degrees and radians plus magnitude.
  • Polar to Cartesian Coordinates Converter
    Convert 2D polar coordinates (r, theta) into Cartesian (x, y) coordinates. Supports degrees and radians using x = r cos theta, y = r sin theta.
  • Cartesian to Polar Coordinates Converter
    Convert 2D Cartesian (x, y) coordinates to polar (r, theta). Uses atan2 for correct quadrant angles in degrees or radians. Free online calculator.
  • Right Triangle Hypotenuse and Height from Base and Slope Angle
    Compute the hypotenuse c and height b of a right triangle from the base a and slope angle theta. Uses c = a / cos(theta) and b = a * tan(theta).
  • Right Triangle Base and Hypotenuse from Angle and Height Calculator
    Given the angle and the opposite height of a right triangle, compute the adjacent base and the hypotenuse using tangent and sine in degree mode.
  • Base and Height from Hypotenuse and Angle (Right Triangle)
    Compute the base (adjacent) and height (opposite) sides of a right triangle from the hypotenuse and inclination angle using a = c·cos θ and b = c·sin θ.
  • Jacobi Elliptic Function dn(u, k) Calculator
    Compute the Jacobi elliptic function dn(u, k), the delta amplitude, for any real argument u and modulus k in [-1, 1] using the AGM descending method.
  • Hyperbolic Functions Calculator
    Compute all six hyperbolic functions sinh, cosh, tanh, csch, sech and coth of a real number x instantly, with formulas and a worked example.
  • Rotation of Axes (New Coordinates) Calculator
    Find a point's coordinates (X, Y) after rotating the axes by angle theta about the origin. Supports degrees or radians and clockwise rotation.
  • Jacobi Elliptic Functions sn, cn, dn Calculator
    Compute the Jacobi elliptic functions sn(u,k), cn(u,k) and dn(u,k) for any real argument u and modulus k (0 to 1) using the robust AGM algorithm.
  • Complete Elliptic Integrals K(k) and E(k) Table Calculator
    Generate a table of complete elliptic integrals K(k) and E(k) over a sequence of modulus values k via the AGM method. Set initial k, step, and rows.
  • Complete Elliptic Integral of the Second Kind E(k) Calculator
    Compute the complete elliptic integral of the second kind E(k) for any modulus -1 to 1 using the fast, high-accuracy arithmetic-geometric mean method.
  • Complete Elliptic Integral of the First Kind K(k) Calculator
    Compute K(k), the complete elliptic integral of the first kind, from the elliptic modulus k using the fast AGM method. Modulus convention (m = k squared).
  • Sine Integral Si(x) Calculator
    Compute the sine integral Si(x) = integral from 0 to x of sin(t)/t dt for any real x. Free, high-precision special-function calculator.
  • Arctan Calculator
    Enter a tangent value and choose degrees or radians to compute the arctangent (inverse tangent). See the angle in both units with precise results.
  • Polar to Cartesian Coordinate Conversion (Complex Number)
    Convert a complex number from polar form (magnitude r and angle theta) into rectangular Cartesian form x + yi. Supports radians and degrees.
  • Cartesian to Polar Form Converter for Complex Numbers
    Convert a complex number x + yi from Cartesian (rectangular) form into polar form r·e^(θi). Get the modulus r and argument θ in radians instantly.

Categories