Examples are as follows:
f(t)= Asin(3t/2)+Bcos( 16t/ 15)+Csin(t/29
The three periods are 2π/(3/2)=4π/3 respectively.
2π/( 16/ 15)= 15π/8
2π/( 1/29)=58π
Is to find the least common multiple of 4/3, 15/8, 58/ 1.
Least common multiple of fraction
That is, the numerator takes the least common multiple and the denominator takes the greatest common divisor.
Obviously, the lowest common multiple of molecules is 1740.
The greatest common divisor of denominator is 1.
So the period T= 1740π.
Extended data
Common trigonometric functions are sine function, cosine function and tangent function. Other trigonometric functions, such as cotangent function, secant function, cotangent function, dyadic function, cofactor function, semidyadic function and semifactorial function, are also used in other disciplines, such as navigation, surveying and engineering. The relationship between different trigonometric functions can be obtained by geometric intuition or calculation, which is called trigonometric identity.
Trigonometric functions are generally used to calculate the sides and angles of triangles with unknown lengths, and are widely used in navigation, engineering and physics. In addition, taking trigonometric functions as templates, we can define a class of similar functions, which are called hyperbolic functions. Common hyperbolic functions are also called hyperbolic sine functions, hyperbolic cosine function and so on.
Trigonometric function (also called circular function) is a function of angle; They are very important in studying triangles, simulating periodic phenomena and many other applications. Trigonometric function is usually defined as the ratio of two sides of a right triangle containing this angle, and it can also be equivalently defined as the lengths of various line segments on the unit circle. More modern definitions express them as infinite series or solutions of specific differential equations, allowing them to be extended to any positive and negative values, even complex values.