What is the normal period for sine, cosine, secant, and cosecant functions?

The normal period for sine and cosine functions is indeed (2\pi). This means that the values of these functions repeat every (2\pi) radians.

For example, the sine function (\sin(x)) reaches the same values again when (x) is increased by (2\pi). This cyclic nature is characteristic of periodic functions like sine and cosine.

Similarly, the secant and cosecant functions, which are the reciprocals of cosine and sine respectively, also share this period of (2\pi). This is because secant and cosecant inherit their periodicity from their respective sine and cosine functions, remaining consistent with their repeating behavior over intervals of (2\pi).

In summary, the correct answer reflects the foundational properties of these trigonometric functions concerning their repetitive nature over specified intervals, with (2\pi) being the standard period for this set of functions.