Given that sin(A+B)=sinA cosB+cosA sinB,find the value of sin75°

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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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Given that sin(A+B)=sinA cosB+cosA sinB,find the value of sin75°

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.

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.