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