A) \[\frac{1}{\sqrt{2}}\]
B) \[0\]
C) \[1\]
D) \[-1\]
E) \[-\frac{1}{\sqrt{2}}\]
Correct Answer: B
Solution :
\[cos\text{ }1{}^\circ -cos\text{ }2{}^\circ -\text{ }cos\text{ }3{}^\circ ...\text{ }cos\text{ }179{}^\circ \] \[=cos\text{ }1{}^\circ -cos\text{ }2{}^\circ -cos\text{ }3{}^\circ ...\text{ }cos\text{ }90{}^\circ ...\text{ }cos\text{ }179{}^\circ \]\[=0\] (\[\because cos\text{ }90{}^\circ =0\])
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