Given that Sin(A + B)=Sin A Cos B +CosA SinB, find the value of 75°

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Solution

Given Sin(A+B) = Sin A Cos B + Cos A Sin B.

Sin 75 = Sin ( 45 + 30) = Sin 45 Cos 30 + Cos 45 Sin 30.

Sin 75 = (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2) = (√3 + 1)/ 2√2.

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