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Rajan@2021
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Verify: sin 60° cos 30° – cos 60° sin 30° = sin 30°

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One of the basic and conceptual question from trigonometric ratios in which we have to show that

sin 60° cos 30° – cos 60° sin 30° = sin 30°

RS Aggarwal, class 10, chapter 11, question no 11(i).

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  1. Consider the L.H.S

    sin60∘cos30∘−cos60∘sin30∘

    Since,

    sin(A−B)=sinAcosB−cosAsinB

    Therefore,

    =sin(60∘−30∘)

    =sin30∘

    Hence, proved.

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