A) 4
B) 3
C) 2
D) 1
Correct Answer: C
Solution :
| [c] \[\{(si{{n}^{4}}\theta -co{{s}^{4}}\theta )+1\}cose{{c}^{2}}\theta \] \[=\{(si{{n}^{2}}\theta +co{{s}^{2}}\theta )(si{{n}^{2}}\theta -co{{s}^{2}}\theta )+1\}\cdot \frac{1}{{{\sin }^{2}}\theta }\] \[=\frac{(si{{n}^{2}}\theta -co{{s}^{2}}\theta )+1}{{{\sin }^{2}}\theta }\] \[=\frac{{{\sin }^{2}}\theta +(1-co{{s}^{2}}\theta )}{{{\sin }^{2}}\theta }\] \[=\frac{2{{\sin }^{2}}\theta }{{{\sin }^{2}}}=2\] |
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