Question

If $x=\sin {45}^0\cos {45}^0+\sin {30}^0$, find the value of $x$.

Answer 1

$x=\sin {45}^o\cos {45}^o+\sin {30}^o$

$x=\frac{1}{\sqrt{2}}\times \frac{1}{\sqrt{2}}+\frac{1}{2}$

$x=\frac{1}{2}+\frac{1}{2}=\frac{2}{2}=1$

$x=1$