First slide

Compound angles

Question

$\cos e c 15^{0} + \sec 15^{0} =$

Moderate

A

$2 \sqrt{2}$
B

$\sqrt{6}$
C

$2 \sqrt{6}$
D

$\sqrt{6} + \sqrt{2}$

Solution

$\cos e e 15 + s e c 15 = \frac{2 \sqrt{2}}{\sqrt{3} - 1} + \frac{2 \sqrt{2}}{\sqrt{3} + 1} r a t i o n a l i s e \sqrt{6} + \sqrt{2} + \sqrt{6} - \sqrt{2} = 2 \sqrt{6}$

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