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The greatest value of the function: (-5...

The greatest value of the function: `(-5sintheta+12costheta)`

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We know that maximum value of `asin theta + b costheta` is `sqrt(a^2+b^2)`.
In the given expression, `-5sin theta + 12 cos theta`,
`a = -5 and b = 12`
`:.` Maximum value `= sqrt(-5^2+13^2) = sqrt(25+144) = sqrt169 = 13`.
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