Question

evalute sin 45° sin 30 + cos 45 ° cos 30°​

Answer 1

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sin45° × sin30° + cos 45° × cos 30°

$( \frac{1}{ \sqrt{2} } \times \frac{1}{2}) + ( \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2)} \\ = \frac{1}{2 \sqrt{2} } \times \frac{ \sqrt{3} }{ 2\sqrt{2} } \\ = \frac{(1 + \sqrt{3)} }{2 \sqrt{2} }$

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