A) 1
B) 2
C) 0
D) 4
Correct Answer: B
Solution :
[b] \[{{\sin }^{2}}7\frac{1{}^\circ }{2}+{{\sin }^{2}}82\frac{1{}^\circ }{2}+{{\tan }^{2}}2{}^\circ {{\tan }^{2}}88{}^\circ \] \[={{\sin }^{2}}\left( 90{}^\circ -82\frac{1{}^\circ }{2} \right)+{{\sin }^{2}}82\frac{1{}^\circ }{2}+{{\tan }^{2}}(90{}^\circ -88{}^\circ )ta{{n}^{2}}88{}^\circ \]\[={{\cos }^{2}}82\frac{1{}^\circ }{2}+{{\sin }^{2}}82\frac{1{}^\circ }{2}+{{\tan }^{2}}88{{\cot }^{2}}88=1+1=2\] |
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