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Q (5) Find the value of 

\small (i) \sin 75\degree

Answers (1)

\sin 75\degree = \sin(45\degree + 30\degree)
We know that 
          (sin(x+y)=sinxcosy + cosxsiny)
Using this idendity

\sin 75\degree = \sin(45\degree + 30\degree) = \sin45\degree\cos30\degree + \cos45\degree\sin30\degree\\ \\ \Rightarrow \frac{1}{\sqrt{2}}\times\frac{\sqrt{3}}{2} + \frac{1}{\sqrt{2}}\times\frac{1}{2}\\ \\ \Rightarrow \frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}} = \frac{\sqrt{3}+1}{2\sqrt{2}}

Posted by

Safeer PP

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