Question

sin(A+B)=SinA×CosB +SinB×CosA. find the Value of Sin75.​

Answer 1

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Answer 2

$\sin \: 75 = \sin \: (30 + 45) \\ \\ from \: above \: formula \\ \\ \sin \: (30 + 45) = \sin30 \times \cos45 + \sin \: 45 \times \cos \: 30 \\ \\ = ( \frac{1}{2} ) \times ( \frac{1}{ \sqrt{2} } ) + ( \frac{1}{ \sqrt{2} } ) \times ( \frac{ \sqrt{3} }{2} ) \\ \\ = \frac{1}{2 \sqrt{2} } + \frac{ \sqrt{3} }{2 \sqrt{2} } \\ \\ = \frac{ \sqrt{3} + 1}{2 \sqrt{2} }$

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