Question

The largest possible value for the sine function and the cosine function is​ _______ and the smallest possible value is​ _______. the range for each of these functions is​ _______.

Answer 1

The largest possible value for the sine function and the cosine function is 1 and the smallest possible value -1 the range for each of these functions is -1 & +1

Answer 2

We will fill the given blanks with the help of graphs of sine and cosine function.

Please see the attached graphs for sine and cosine function.

We can see that both of these graphs have a maximum value of 1 and a minimum value of -1.

Also, we know that the range is the set of y values for which the function is defined. From the graph, we can say that the y values is from -1 to 1.

Hence, the range of these two functions is given by

$\left \{ y\in R : -1 \leq y\leq 1 \right \}$

The largest possible value for the sine function and the cosine function is​ 1 and the smallest possible value is​ -1 . the range for each of these functions is​ [-1,1]