Question

Find the maximum value of 3 sin x + 4 cos x + 5.​

Answer 1

Answer:

the maximum value is 10

Step-by-step explanation:

as the maximum value of asinx + bcosx is √(a²+b²)

thus in this question a = 3 b = 4

therefore the maximum value of the given equation is

5 + 5

=> 10

Answer 2

According to the question,

⇒ a = 4 and b = 3

Hence applying in the formula we get,

⇒ √ ( 3² + 4² ) = √ 25 = ± 5

Now we know that greatest value can be obtained only if we use positive value. Hence Substituting the maximum value of 3 Cos x + 4 Sin x we get,

⇒ 5 + 5 = 10

Hence the maximum possible value for 3 Cos x + 4 Sin x + 5 is 10.