A) \[cos\text{ }A\]
B) \[sin\text{ }A\]
C) \[cosec\text{ }A\]
D) \[sec\text{ }A\]
Correct Answer: A
Solution :
\[\frac{\sqrt{\cos e{{c}^{2}}A-1}}{\cos ecA}=\frac{\sqrt{{{\cot }^{2}}A}}{\cos ecA}\] \[=\frac{\cot A}{\cos ecA}\] \[=\frac{\cos A}{\operatorname{sinA}}\times \sin A=\cos A\] \[[\therefore \,\cos ecA.\sin A=1]\]
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