First slide

Trignometry

Question

The value of sin(15°) is

Easy

A

$\frac{\sqrt{3} + 1}{2 \sqrt{2}}$
B

$\frac{\sqrt{3} - 1}{2 \sqrt{2}}$
C

$\frac{\sqrt{3}}{2 \sqrt{2}}$
D

$\frac{1}{2 \sqrt{2}}$

Solution

$\sin (45 - 30) = \sin 45 \cos 30 - \cos 45 \sin 30 \Rightarrow \sin 15 = \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}} \cdot \frac{1}{2} = \frac{\sqrt{3} - 1}{2 \sqrt{2}}$

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