What is the period of sine and cosine?

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Diagram of a right triangle labeled with sides a, b, and hypotenuse c, alongside formulas for the six trigonometric functions-sine, cosine, tangent, cosecant, secant, and cotangent-each defined by ratios of the triangle's sides. — trigonometry Based on the definitions, various simple relationships exist among the functions. For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A/cos A.

In mathematics, the sine and cosine functions are periodic, meaning they repeat their values at regular intervals. When the angle is expressed in radians, both the sine and cosine functions have a period of $2 π$ .123

If the angle is measured in degrees, these functions have a period of 360°. This periodicity is fundamental to their role in modeling periodic motion and various physical phenomena, such as sound waves and electromagnetic radiation.431