Complete the sentence below.
The sine, cosine, cosecant, and secant functions have period ; the tangent and cotangent functions have period
The sine, cosine, cosecant and secant functions have period $\square$ : the tangent and cotangent functions have period $\square$ (Simplify your answers. Type exact answers, using $x$ as needed)
Answer
Final Answer: The sine, cosine, cosecant and secant functions have period \(\boxed{2\pi}\) : the tangent and cotangent functions have period \(\boxed{\pi}\).
Step 1 ：The sine, cosine, cosecant, and secant functions are periodic functions with a period of $2\pi$. This means that the function repeats its values every $2\pi$ radians.
Step 2 ：On the other hand, the tangent and cotangent functions have a period of $\pi$. This means that these functions repeat their values every $\pi$ radians.
Step 3 ：Final Answer: The sine, cosine, cosecant and secant functions have period \(\boxed{2\pi}\) : the tangent and cotangent functions have period \(\boxed{\pi}\).
