Question

sin 30⁰×cos 30⁰+sin 45⁰×cos 45⁰
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Answer 1

$\huge\boxed{\fcolorbox{black}{pink}{Solution}}$

$sin 30⁰×cos 30⁰ + sin 45⁰×cos 45⁰$

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

$\frac{ \sqrt{3} }{4} + \frac{1}{ \sqrt{2} \times \sqrt{2} }$

$\frac{ \sqrt{3} }{4} + \frac{1}{2}$

$LCM \: of \: 4 \: and \: 2 \: = 4$

$\frac{ \sqrt{3} }{4} + \frac{1 \times 2}{2 \times 2}$

$\frac{ \sqrt{3 } }{4} + \frac{2}{4}$

$\frac{ \sqrt{3 } + 2}{4}$