For what value of c will y = sin(x - c) be an even function?
a. 2π
b. π
c. π/2

c.

Step-by-step explanation:

We are given that

We have to find the  value of C for which  given function is even function.

We know that

Even function : If f(x)=f(-x) then the function is called even function.

Substitute the value then we get

We know that sin (-x)=-sin x,

We know that Sin x is an odd function , therefore, option a is incorrect.

b.

Substitute the value then we get

It is an odd function.

Hence, option b is incorrect.

c.

Substitute the value then we get

We know that cos x is even function

Replace x by -x then, we get

....(cos (-x)=cos x)

Hence, the value of C=  for which given function will be an even function.

c.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

the answer is c. 23/3