Q. 2 C3.7( 30 Votes )
Find the maximum and minimum values, if any, of the following functions given by
h(x) = sin(2x) + 5
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.
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