Question

evaluate:sin60 cos30-cos60sin30+2cot45​

Answer 1

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$\large\star$$\huge{\red{\boxed{\mathscr{Trigonometry}}}}$$\large\star$

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$\bigcirc$Sin60°Cos30°-Cos60°Sin30°+2Cot45°

$( \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} ) - ( \frac{1}{2} \times \frac{1}{2}) + (2 \times \frac{1}{ \sqrt{2} } )\\ \\ = ( \frac{3}{4} ) - (\frac{1}{4} ) + ( \frac{2}{ \sqrt{2} } ) \\ \\ = ( \frac{1}{2} ) + ( \frac{2}{ \sqrt{2} } ) \\ \\ = \frac{ \sqrt{2 } + 4}{2 \sqrt{2} }$

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