Question

(sin30/1+cos30) + (1+cos30/sin30)
$\sin(30 )\div 1 + \cos(30 ) + (1 + \cos(30 ) \div \sin(30)$

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Answer 1

Answer:

1

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Answer 2

Answer:

4

Step-by-step explanation:

$\frac{sin 30}{1+cos 30} +\frac{1+cos 30}{sin 30} \\=\frac{sin 30(1-cos30)}{(1+cos30)(1-cos30)} +\frac{1+cos30}{sin 30} \\=\frac{sin30(1-cos30)}{1-cos^230 } +\frac{1+cos30}{sin 30} \\=\frac{sin 30(1-cos30)}{sin^2 30} +\frac{1+cos30}{sin30} \\=\frac{1-cos30}{sin30 } +\frac{1+cos30}{sin30} \\=\frac{1-cos30+1+cos 30}{sin 30} \\=\frac{2}{sin 30} \\=\frac{2}{\frac{1}{2} } \\=4$