What is the max value of 2sinx+4cosx+3?

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What is the max value of 2sinx+4cosx+3?

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Answer 1 · 2018-03-01T16:35:36

$3 + \sqrt{20}$ $3+sqrt20$

Explanation:

The maximum value of $a sin x + b cos x = \sqrt{a^{2} + b^{2}}$ $a sinx+bcosx=sqrt (a^2+b^2)$
So max. value of
$2 sin x + 4 cos x + 3 is 3 + \sqrt{20}$ $2sinx+4cos x+3 " is " 3+sqrt20$

In case your question is
$2 sin x + 4 cos c + 3$ $2sinx+4cosc+3$ then the answer is $9$ $9$ because maximum value of $sin x$ $sinx$ is $1$ $1$ and of $cos c$ $cos c$ is also $1$ $1$ .

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What is the max value of 2sinx+4cosx+3?

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