A) \[\tan 62{}^\circ \]
B) \[\tan 56{}^\circ \]
C) \[\tan 54{}^\circ \]
D) \[\tan 73{}^\circ \]
Correct Answer: A
Solution :
Divided by \[\cos \,\,{{17}^{o}}\] in numerator and denominator, we get, \[\frac{\cos \,\,{{17}^{o}}+\sin \,\,{{17}^{o}}}{\cos \,\,{{17}^{o}}-\sin \,\,{{17}^{o}}}\] \[=\frac{1+\tan \,\,{{17}^{o}}}{1-\tan \,\,{{17}^{o}}}=\frac{\tan \,\,{{45}^{o}}+\tan \,\,{{17}^{o}}}{1-\tan \,\,{{45}^{o}}\tan \,\,{{17}^{o}}}=\tan \,\,{{62}^{o}}\].
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