The sine, cosing , cosecant, and secamt functions have pariod __ ; the tangent and cotangent functions have period __ he sine, casine , cosecant, and secant functions have parlod square ; the tangent and cotangent functions have period square Simplify your answers . Type exact answers.using x as needed.)

## Step 1<br />The sine, cosine, cosecant, and secant functions are periodic. This means that they repeat their values in a regular pattern. The period of a function is the length of one complete cycle of the Step 2<br />The sine and cosine functions have a period of \(2\pi\). This means that they repeat their values every \(2\pi\) radians.<br /><br />## Step 3<br />The cosecant and secant functions are the reciprocals of the sine and cosine functions, respectively. Therefore, they also have a period of \(2\pi\).<br /><br />## Step 4<br />The tangent and cotangent functions are different. They are the ratios of sine and cosine functions. Therefore, they have a period of \(\pi\).<br /><br />## Step 5<br />The tangent and cotangent functions repeat their values every \(\pi\) radians.