Question

Sin30. cot45/cos30. tan60​

Answer 1

Answer:

$\frac{ \sin(30) \cot(45) }{ \cos(30) \tan(60) }$

group them by simplifying:

$= \{ \frac{ \sin(30) }{ \cos(30) } . \frac{ \cot(45) }{ \tan(60) } \} \\ \\ = \frac{ \tan(30) }{ \tan(45) \tan(60) } \\ \\ = \frac{( \frac{1}{ \sqrt{3} }) }{1 \times \sqrt{3} } \\ \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ \\ = \frac{1}{ {( \sqrt{3}) }^{2} } \\ \\ = { \boxed{ \boxed{ \frac{1}{3} }}}$