Q. The value of $\tan{67\frac{1{^\circ}}{2} + \cot{67\frac{1{^\circ}}{2}}}$ is
A) $\sqrt{2}$
B) 2
$3\sqrt{2}$
C) $2\sqrt{2}$
D) $2 - \sqrt{2}$
Explanation
(c)
Given, $\tan\left( 90{^\circ} - 22\frac{1}{2}{^\circ} \right) + \cot\left( 90{^\circ} - 22\frac{1}{2}{^\circ} \right)$
$= \tan{22\frac{1}{2}{^\circ} + \cot{22\frac{1}{2}{^\circ} = \sqrt{2} - 1 + \sqrt{2} + 1 = 2\sqrt{2}}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.