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Trigonometry Calculator

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  • Point Rotation Calculator
    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.
    June 18, 2026
  • Direction of the Vector Calculator
    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.
    June 18, 2026
  • Polar to Cartesian Coordinates Converter
    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.
    June 18, 2026
  • Cartesian to Polar Coordinates Converter
    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.
    June 18, 2026
  • Right Triangle Hypotenuse and Height from Base and Slope Angle
    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).
    June 18, 2026
  • Right Triangle Base and Hypotenuse from Angle and Height Calculator
    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.
    June 18, 2026
  • Base and Height from Hypotenuse and Angle (Right Triangle)
    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.
    June 18, 2026
  • Jacobi Elliptic Function dn(u, k) Calculator
    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.
    June 18, 2026
  • Rotation of Axes (New Coordinates) Calculator
    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.
    June 18, 2026
  • Jacobi Elliptic Functions sn, cn, dn Calculator
    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.
    June 18, 2026
  • Complete Elliptic Integrals K(k) and E(k) Table Calculator
    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.
    June 18, 2026
  • Complete Elliptic Integral of the Second Kind E(k) Calculator
    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.
    June 18, 2026
  • Complete Elliptic Integral of the First Kind K(k) Calculator
    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).
    June 18, 2026
  • Sine Integral Si(x) Calculator
    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.
    June 18, 2026
  • Polar to Cartesian Coordinate Conversion (Complex Number)
    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.
    June 18, 2026
  • Cartesian to Polar Form Converter for Complex Numbers
    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.
    June 18, 2026
  • Angle and Hypotenuse from Base and Height
    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.
    June 18, 2026
  • Right Triangle Angle and Base Calculator
    Right Triangle Angle and Base Calculator
    Find the inclination angle (degrees and D-M-S) and the base of a right triangle from its height and hypotenuse using arcsin and the Pythagorean theorem.
    June 18, 2026
  • Base & Hypotenuse to Angle and Height 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.
    June 18, 2026
  • Degrees Minutes Seconds Calculator
    Degrees Minutes Seconds Calculator
    Convert degrees, minutes and seconds (DMS) to decimal degrees and radians instantly. Free online angle/coordinate converter with worked examples.
    June 18, 2026
  • Angle of Depression Calculator
    Angle of Depression Calculator
    Calculate the angle of depression from a vertical height and horizontal distance. Get the angle instantly in degrees and radians using the arctangent.
    June 18, 2026
  • Ramp Calculator
    Ramp Calculator
    Calculate ramp length, slope percentage, incline angle, and slope ratio from the rise and run using the Pythagorean theorem and trigonometry.
    June 18, 2026
  • Ladder Angle Calculator
    Ladder Angle Calculator
    Calculate the angle of a ladder against a wall from its height and base distance. Check the safe 75-degree (4-to-1) setup and required ladder length.
    June 18, 2026
  • Tree Height Calculator
    Tree Height Calculator
    Calculate tree height from your distance, the angle to the treetop, and your eye height using trigonometry. Free, fast, and accurate online tool.
    June 17, 2026
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