Question

$\cos(30) = \sqrt{3 \div 2} then \: find \: 1 - \sec(?) \div 1 + \csc(?)$
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Answer 1

Step-by-step explanation:

1-

$1 - \sec(30) \div 1 + \ \cos(30) = \\ 1 - (2 \div \sqrt{3} ) \div 1 + (2 \div \sqrt{3} ) = \\ \sqrt{3 } - 2 \div \sqrt{3} + 2 = \\ ({ \sqrt{3} - 2})^{2} \div ({ \sqrt{3} }^{2} - {2}^{2} ) = \\ 7 - 4 \sqrt{3}$

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