Question
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.)
Solution
4.3
(218 Votos)
Joana
Mestre · Tutor por 5 anos
Resposta
The sine, cosine, cosecant, and secant functions have period
.
Explicação
## Step 1The 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 2The sine and cosine functions have a period of
. This means that they repeat their values every
radians.## Step 3The cosecant and secant functions are the reciprocals of the sine and cosine functions, respectively. Therefore, they also have a period of
.## Step 4The tangent and cotangent functions are different. They are the ratios of sine and cosine functions. Therefore, they have a period of
.## Step 5The tangent and cotangent functions repeat their values every
radians.