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