A) \[0\]
B) \[1\]
C) \[2\]
D) \[\frac{1}{2}\]
Correct Answer: C
Solution :
Expression\[={{\sin }^{2}}{{65}^{o}}+{{\sin }^{2}}{{25}^{o}}+{{\cos }^{2}}{{35}^{o}}+\]\[{{\cos }^{2}}{{55}^{o}}\] \[={{\sin }^{2}}{{65}^{o}}+{{\sin }^{2}}({{90}^{o}}-{{65}^{o}})+{{\cos }^{2}}{{35}^{o}}+\]\[{{\cos }^{2}}({{90}^{o}}-{{35}^{o}})\] \[={{\sin }^{2}}{{65}^{o}}+{{\cos }^{2}}{{65}^{o}}+{{\cos }^{2}}{{35}^{o}}+{{\sin }^{2}}{{35}^{o}}\] \[=1+1=2\]
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