A) \[\tan 56{}^\circ \]
B) \[\tan 34{}^\circ \]
C) \[\cot 56{}^\circ \]
D) \[\tan 11{}^\circ \]
Correct Answer: A
Solution :
\[\frac{\cos 11{}^\circ +\sin 11{}^\circ }{\cos 11{}^\circ -\sin 11{}^\circ }\] Divide numerator and denominator by \[\cos 11{}^\circ \] \[=\frac{1+\tan 11{}^\circ }{1-\tan 11{}^\circ }=\frac{\tan 45{}^\circ +\tan 11{}^\circ }{1-\tan 45{}^\circ \tan 11{}^\circ }\] \[=\tan \,\,(45{}^\circ +11{}^\circ )=\tan 56{}^\circ \]
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