Find the maximum and minimum values, if any, of the following functions given by
h(x) = sin(2x) + 5

Question

Find the maximum and minimum values, if any, of the following functions given by h(x) = sin(2x) + 5

Philoid · Accepted Answer

It is given that h(x) = sin(2x) + 5

Now, we can see that -1 ≤ sin2x ≤ 1

⇒ -1 + 5 ≤ sin2x + 5 ≤ 1 + 5

⇒ 4 ≤ sin2x + 5 ≤ 6

Therefore, the maximum and minimum value of function h are 6 and 4 respectively.

Find the maximum and minimum values, if any, of the following functions given byh(x) = sin(2x) + 5