Question

Sin 30 / sin 45 + tan 45 / sec 60 - sin 60 / cot 45 - cos 30 / sin 90​

Answer 1

$= \frac{sin30}{sin45} + \frac{tan45}{sec60} - \frac{sin60}{cot45} - \frac{cos30}{sin90} \\ \\ = \frac{ \frac{1}{2} }{ \frac{1}{ \sqrt{2} } } + \frac{1}{2} - \frac{ \frac{ \sqrt{3} }{2} }{1} - \frac{ \frac{ \sqrt{3} }{2} }{1} \\ \\ = \frac{ \sqrt{2} }{ 2 } + \frac{1}{2} - \frac{ \sqrt{3} }{2} - \frac{ \sqrt{3} }{2} \\ \\ = \frac{ \sqrt{2} + 1 - \sqrt{3} - \sqrt{3} }{2} \\ \\ = \frac{ \sqrt{2} + 1 - 2 \sqrt{3} }{2}$

Answer 2

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