Question

Sin A Cos B+ Cos A sin B = Sin(A+B)

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Answer 1

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Answer 2

Answer:

Putting A = 45 degree and B = 30degree in sin (A + B) = sin A cos B + cos A sin B , we get  

sin ( 45degree +30degree) = sin45 degree cos30degree+ cos45degree sin 30degree

⇒sin75degree  = $\sf{ \dfrac{1}{ \sqrt{2}} \times \dfrac{\sqrt{3}}{4} + \dfrac{1}{\sqrt {2}} \times \dfrac{1}{2} = \dfrac{\sqrt{3}}{ 2\sqrt{2}} + \dfrac{1}{ 2\sqrt{2}}= \dfrac{ \sqrt{3} +1}{ 2\sqrt{2}}}$