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Triangle Area from Coordinates CalculatorFind the area of a triangle from the (x, y) coordinates of its three vertices using the Shoelace formula. Free, instant, and shows orientation.
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Triangle Angles from Three Sides CalculatorCompute 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.
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Spherical Hankel Function Table CalculatorTabulate 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.
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Point Rotation CalculatorRotate a 2D point around any center by a given angle. Computes new coordinates using x' = x cosĪø ā y sinĪø, y' = x sinĪø + y cosĪø.
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Angle and Hypotenuse from Base and HeightCompute the inclination angle (in decimal degrees and DMS) and the hypotenuse of a right triangle from its base and height legs. Free trig calculator.
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Base & Hypotenuse to Angle and Height CalculatorFind 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.
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Direction of the Vector CalculatorFind the direction angle of a 2D vector from its x and y components using Īø = atan2(y, x). Get the angle in degrees and radians plus magnitude.
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Polar to Cartesian Coordinates ConverterConvert 2D polar coordinates (r, theta) into Cartesian (x, y) coordinates. Supports degrees and radians using x = r cos theta, y = r sin theta.
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Cartesian to Polar Coordinates ConverterConvert 2D Cartesian (x, y) coordinates to polar (r, theta). Uses atan2 for correct quadrant angles in degrees or radians. Free online calculator.
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Right Triangle Hypotenuse and Height from Base and Slope AngleCompute 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).
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Right Triangle Base and Hypotenuse from Angle and Height CalculatorGiven the angle and the opposite height of a right triangle, compute the adjacent base and the hypotenuse using tangent and sine in degree mode.
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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 = cĀ·cos Īø and b = cĀ·sin Īø.
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Jacobi Elliptic Function dn(u, k) CalculatorCompute 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.
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Hyperbolic Functions CalculatorCompute all six hyperbolic functions sinh, cosh, tanh, csch, sech and coth of a real number x instantly, with formulas and a worked example.
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Rotation of Axes (New Coordinates) CalculatorFind a point's coordinates (X, Y) after rotating the axes by angle theta about the origin. Supports degrees or radians and clockwise rotation.
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Jacobi Elliptic Functions sn, cn, dn CalculatorCompute 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.
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Complete Elliptic Integrals K(k) and E(k) Table CalculatorGenerate 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.
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Complete Elliptic Integral of the Second Kind E(k) CalculatorCompute 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.
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Complete Elliptic Integral of the First Kind K(k) CalculatorCompute 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).
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Sine Integral Si(x) CalculatorCompute 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.
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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.
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Cartesian to Polar Form Converter for Complex NumbersConvert a complex number x + yi from Cartesian (rectangular) form into polar form rĀ·e^(Īøi). Get the modulus r and argument Īø in radians instantly.
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Right Triangle Angle and Base CalculatorFind 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.
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30 60 90 Triangle CalculatorSolve any 30-60-90 right triangle. Enter one side to instantly find the other two sides, area, and perimeter using the 1 : ā3 : 2 ratio.
