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Step-by-step explanation:
we can write sin15 as sin(45-30)
sin(A-B)= sinA.cosB - cosA.sinB
sin(45-30)=sin45.cos30 - cos45.sin30
=1/√2×√3/2 - 1/√2×1/2
=√3/2√2 - 1/2√2
= (√3-1)/2√2
hence proved....
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