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.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.