Which of the following is an equivalent single–sine form of ?

MATHEMATICS · Single correct · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

Which of the following is an equivalent single–sine form of 3sin⁡x+4cos⁡x3\sin x + 4\cos x? (a) 5sin⁡(x−53∘)5\sin\bigl(x-53^{\circ}\bigr) (b) 5sin⁡(x+53∘)5\sin\bigl(x+53^{\circ}\bigr) (c) 5sin⁡(x+37∘)5\sin\bigl(x+37^{\circ}\bigr) (d) 4sin⁡(x+53∘)4\sin\bigl(x+53^{\circ}\bigr)

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