Calculate Trigonometric Powers
Calculator for the power functions of sine, cosine, tangent, cotangent, secant, cosecant and for the arcus functions.
Please choose, if the angle specification is in degrees, radian or times pi, then enter power and angle. The trigonometric powers of this angle will be calculated. Also, a fraction, like 2/3, can be entered. It is not possible to calculate fraction powers of negative values. If tangent, cotangent, secant or cosecant before potentiation are above 100,000, infinite is assumed.
Round to decimal places.
Arc Functions of Powers
These are the inverse functions of the trigonometric functions, applied to powers of a value. The arcus of sinxα is asin(x√α), of cosxα it is acos(x√α), and so on. x√ reads as x. square root of. The result of the calculation is an angle, specification and rounding are taken from above.
With trigonometric functions, an angle is entered to get a numerical value as result. With arc functions, a numerical value is entered to get a an angle as result.
Trigonometric powers extend classical trigonometric functions by adding exponential scaling, which is relevant in some technical and scientific applications. For example, sin³(α) (identical with sin(α)³) describes the nonlinear distortion of a harmonic oscillation. This is a phenomenon that occurs in acoustics (sound distortion), optics (light intensity modulation), and electrical engineering (signal processing). Powers of tangent or secant play a role in calculating inclination angles in geodesy or in analyzing forces in inclined planes, where nonlinear relationships exist between angles and resulting vectors. Trigonometric powers are particularly useful in Fourier analysis for modeling harmonics and harmonic distortions. Other applications include robotics for calculating joint angles, astronomy for analyzing periodic celestial motions, and computer graphics for modeling curves and surfaces with nonlinear distortions.