Question

evaluate tan 45 + tan 30 / 1 - tan 45 + tan 30

Answer 1

Answer:

$\frac{ \tan(45) + \tan(30) }{1 - \tan(45) + \tan(30) } \\ \frac{1 + \frac{1}{ \sqrt{3} } }{1 - 1 + \frac{1}{ \sqrt{3} } } \\ \frac{1 + \frac{1}{ \sqrt{3} } }{ \frac{1}{ \sqrt{3} } } \\ \frac{ \frac{ \sqrt{3} + 1 }{ \sqrt{3} } }{ \frac{1}{ \sqrt{3} } } \\ \frac{ \sqrt{3} + 1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{1} \\ \sqrt{3} + 1$

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