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If $a \cos A - b \sin A = c$ , then $a \sin A + b \cos A$ is equal to

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a2+b2−c2

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a2+b2+c2

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detailed solution

Correct option is A

Put asin⁡A+bcos⁡A=x, then c2+x2=(acos⁡A−bsin⁡A)2+(asin⁡A+bcos⁡A)2=a2+b2⇒ x=a2+b2−c2

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If acos⁡A−bsin⁡A=c, then asin⁡A+bcos⁡A is equal to

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If $a \cos A - b \sin A = c$ , then $a \sin A + b \cos A$ is equal to