Question

14) 5
sin 30x Cos 30 + sin45degrees x cos 45 degrees
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Answer 1

$\large \color{red} \bold{sin {30}^{0} cos {30}^{0} + sin {45}^{0} cos {45}^{0} }$

$\large \color{blue} \bold {= \frac{1}{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } }$

$\large \color{blue} \bold {= \frac{ \sqrt{3} }{4} + \frac{1}{2}}$

$= \underbrace{\large \color{blue} \bold { \frac{ \sqrt{3} + 2}{4} }}$