The maximum value of 3cos theta - 4sin theta | vedclass

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(C) The expression is of the form $a\cos 	heta + b\sin 	heta$,where $a = 3$ and $b = -4$.The maximum value of the expression $a\cos 	heta + b\sin \

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) The expression is of the form $a\cos 	heta + b\sin 	heta$,where $a = 3$ and $b = -4$.The maximum value of the expression $a\cos 	heta + b\sin 	heta$ is given by the formula $\sqrt{a^2 + b^2}$.Substituting the values of $a$ and $b$:Maximum value $= \sqrt{(3)^2 + (-4)^2}$$= \sqrt{9 + 16}$$= \sqrt{25}$$= 5$.Thus,the maximum value of $3\cos 	heta - 4\sin 	heta$ is $5$.

The maximum value of $3\cos \theta - 4\sin \theta $ is

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