Q. $\tan{10{^\circ} + \tan{35{^\circ} + \tan{10{^\circ}\tan{35{^\circ}}}}}$ is equal to
A) 0
B) $\frac{1}{2}$
C) -1
D) 1
Explanation
(d)
$\tan{45{^\circ} = \frac{\tan{10{^\circ} + \tan{35{^\circ}}}}{1 - \tan{10{^\circ}\tan{35{^\circ}}}}}$
$\Rightarrow \ \ 1 - \tan{10{^\circ}\tan{35{^\circ} = \tan{10{^\circ} + \tan 35}}}{^\circ}$
$\Rightarrow \ \tan{10{^\circ} + \tan{35{^\circ} + \tan{10{^\circ}\tan{35{^\circ} = 1}}}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.