If \(\mathop \smallint \nolimits_0^{\pi /3} \frac{{{\rm{tan}}\theta }}{{\sqrt {2k{\rm{sec}}\theta } }}d\theta = 1 - \frac{1}{{\sqrt 2 }},(k > 0)\), then the value of k is:

If \(\mathop \smallint \nolimits_0^{\pi /3} \frac{{{\rm{tan}}\theta }}

1.	If \(\mathop \smallint \nolimits_0^{\pi /3} \frac{{{\rm{tan}}\theta }}{{\sqrt {2k{\rm{sec}}\theta } }}d\theta = 1 - \frac{1}{{\sqrt 2 }},(k > 0)\), then the value of k is:
A.	4
B.	1/2
C.	1
D.	2
Answer» E.

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If \(\mathop \smallint \nolimits_0^{\pi /3} \frac{{{\rm{tan}}\theta }}{{\sqrt {2k{\rm{sec}}\theta } }}d\theta = 1 - \frac{1}{{\sqrt 2 }},(k > 0)\), then the value of k is:

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