First slide

Multiple and sub- multiple Angles

Question

$\tan 15^{\circ} + \tan 75^{\circ}$ is equal to

Moderate

A

1
B

2
C

3
D

4

Solution

$\begin{array}{l} \tan 15^{\circ} + \tan 75^{\circ} = \tan 15^{\circ} + \cot 15^{\circ} \\ = \frac{\tan^{2} 15^{\circ} + 1}{\tan 15^{\circ}} \\ = 2 (\frac{1}{\sin 30^{\circ}}) = 4 \end{array}$

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