A) 1
B) \[\pm \sqrt{5}\]
C) \[\frac{1}{2}\]
D) \[\pm \sqrt{3}\]
Correct Answer: B
Solution :
Given \[\cos A=2\sin A\] or \[co{{s}^{2}}\text{ }A=4\text{ }si{{n}^{2}}\text{ }A\] or \[1-si{{n}^{2}}\text{ }A=4\text{ }si{{n}^{2}}\text{ }A\] or \[5\text{ }si{{n}^{2}}A=1\] or \[\sin A=\pm \frac{1}{\sqrt{5}}\] \[\therefore \] \[\text{cosec A=}\pm \sqrt{5}\]
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