Exercise problems XIII — task. Mathematics CBSE, Class 10.

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Evaluate the following:

1.

$\frac{cos \ 45^{\circ}}{sec \ 30^{\circ} + cosec \ 30^{\circ}} =$

2.

$\frac{sin \ 30^{\circ} + tan \ 45^{\circ} - cosec \ 60^{\circ}}{sec \ 30^{\circ} + cos \ 60^{\circ} + cot \ 45^{\circ}} =$

Answer variants:

$\frac{3 \sqrt{2} - \sqrt{6}}{8}$

$\frac{3 \sqrt{2} + \sqrt{6}}{8}$

$\frac{43 - 24 \sqrt{3}}{11}$

$\frac{43 + 24 \sqrt{3}}{11}$

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