A) \[\sqrt{2}\]
B) \[3\sqrt{2}\]
C) \[2\sqrt{2}\]
D) \[2-\sqrt{2}\]
Correct Answer: C
Solution :
Now, \[\tan 67\frac{1}{2}{}^\circ +\cot 67\frac{1}{2}{}^\circ \] \[=\tan \left( {{90}^{o}}-22\frac{1}{2}{}^\circ \right)+\cot \left( {{90}^{o}}-22\frac{1}{2}{}^\circ \right)\]\[=\tan 22\frac{1}{2}{}^\circ +\cot 22\frac{1}{2}{}^\circ \] \[=\sqrt{2}-1+\sqrt{2}+1\] \[=2\sqrt{2}\]
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