Question

cos 30°cos 45 °- sin 30°sin 45°​

Answer 1

$\implies \frac{ \sqrt{3} }{2} \times \frac{1}{ \sqrt{2} } - \frac{1}{2} \times \frac{1}{ \sqrt{2} }$

$\implies \frac{ \sqrt{3} }{ \sqrt[2]{2}} - \frac{1}{\sqrt[2]{2} }$

$\implies \frac{ \sqrt{3} - 1}{ \sqrt[2]{2} }$

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Answer 2

$\implies \frac{ \sqrt{3} }{2} \times \frac{1}{ \sqrt{2} } - \frac{1}{2} \times \frac{1}{ \sqrt{2} }$

$\implies \frac{ \sqrt{3} }{ \sqrt[2]{2}} - \frac{1}{\sqrt[2]{2} }$

$\implies \frac{ \sqrt{3} - 1}{ \sqrt[2]{2} }$

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