Question

maximum value of 2 sin x + 3 cos x

Answer 1

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Answer 2

The maximum value is $\sqrt{13}$

Step-by-step explanation:

To find : Maximum value of $2\sin x+3\cos x$ ?

Solution :

We know that,

If function is in the form,

$a\cos x +b\sin x$

Then maximum is $\sqrt{a^2+b^2}$

On comparing with our given function,

a=2 and b=3

Maximum is $\sqrt{2^2+3^2}$

Maximum is $\sqrt{4+9}=\sqrt{13}$

Therefore, the maximum value is $\sqrt{13}$

#Learn more

Find the maximum and minimum value of 2 + 3 sin x + 4 cos x​.

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