A) \[1\]
B) \[-1\]
C) \[0\]
D) \[10\]
Correct Answer: C
Solution :
[c] \[10\cdot \frac{1-{{\cot }^{2}}45{}^\circ }{1+{{\sin }^{2}}45{}^\circ }=10\cdot \frac{1-{{(1)}^{2}}}{1+{{\left( \frac{1}{\sqrt{2}} \right)}^{2}}}=10\cdot \frac{1-1}{1+\frac{1}{2}}\] |
\[[\,\therefore \,\,\,\,\,\cot 45{}^\circ =\sin 90{}^\circ =1]\] |
\[=10\cdot \frac{0}{3/2}=10\times 0=0\] |
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