A) 2
B) -1
C) 1
D) 0
Correct Answer: C
Solution :
\[\frac{\sin {{85}^{o}}-\sin {{35}^{o}}}{\cos {{65}^{o}}}\] \[=\frac{2\cos \frac{{{85}^{o}}+{{35}^{o}}}{2}\sin \frac{{{85}^{o}}-{{35}^{o}}}{2}}{\cos {{65}^{o}}}\] \[=\frac{2\cos {{60}^{o}}\,\sin {{25}^{o}}}{\cos \,({{90}^{o}}-{{25}^{o}})}=\frac{2.\frac{1}{2}.\,\sin {{25}^{o}}}{\sin {{25}^{o}}}\] \[=1\]
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