A) \[{{\cos }^{2}}{{90}^{o}}\]
B) \[{{\tan }^{2}}{{45}^{o}}\]
C) \[co{{s}^{2}}{{30}^{o}}\]
D) \[{{\sin }^{2}}{{45}^{o}}\]
Correct Answer: B
Solution :
We have, \[{{\sin }^{2}}{{17.5}^{o}}+{{\sin }^{2}}{{72.5}^{o}}\] \[={{\sin }^{2}}{{17.5}^{o}}+{{\sin }^{2}}({{90}^{o}}-{{17.5}^{o}})\] \[={{\sin }^{2}}{{17.5}^{o}}+{{\cos }^{2}}{{17.5}^{o}}\] \[=1={{1}^{2}}\] \[={{\tan }^{2}}{{45}^{o}}\]
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