First slide

Compound angles

Question

The value of $\frac{\cos 12^{\circ} - \sin 12^{\circ}}{\cos 12^{\circ} + \sin 12^{\circ}} + \frac{\sin 147^{\circ}}{\cos 147^{\circ}}$ is equal to

Moderate

A

1
B

-1
C

0
D

None of these

Solution

$\begin{array}{l} \frac{\cos 12^{\circ} - \sin 12^{\circ}}{\cos 12^{\circ} + \sin 12^{\circ}} + \frac{\sin 147^{\circ}}{\cos 147^{\circ}} = \frac{1 - \tan 12^{\circ}}{1 + \tan 12^{\circ}} + \tan 147^{\circ} \\ = \tan (45^{\circ} - 12^{\circ}) + \tan (180^{\circ} - 33^{\circ}) \\ = \tan 33^{\circ} - \tan 33^{\circ} = 0 \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App