Question

Find the value of $sin{75}^o$

Answer 1

$\begin{array}{c}\Rightarrow \sin \left({45}^0+{30}^0\right)\\ \Rightarrow \sin {45}^0\cos {30}^0+\cos {45}^0\sin {30}^0\\ \Rightarrow \frac{1}{\sqrt{2}}\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{2}}\frac{1}{2}\\ \Rightarrow \frac{\sqrt{3}}{2\sqrt{2}}+\frac{1}{2\sqrt{2}}\\ Hence,\\ weget\\ \Rightarrow \frac{\sqrt{3}+1}{2\sqrt{2}}\end{array}$