Question

$\sin(75)$
​

Answer 1

Answer:

$\frac{\sqrt{3}+1 }{2\sqrt{2} }$

Step-by-step explanation:

sin75 = sin (45+30)

         = sin45.cos30 + cos45.sin30

         = $\frac{1}{\sqrt{2} }$* $\frac{\sqrt{3} }{2}$ + $\frac{1}{\sqrt{2} }$* $\frac{1}{2}$

         = $\frac{\sqrt{3} }{2\sqrt{2} }$ + $\frac{1}{2\sqrt{2} }$

         = $\frac{\sqrt{3}+1 }{2\sqrt{2} }$