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The value (s) of `theta` satisfying the equation `theta=tan^(- 1)(2tan^2theta)-1/2(sin^(- 1)((3sin2theta)/(5+4cos2theta)))` is

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The value (s) of `theta` satisfying the equation `theta=tan^(- 1)(2tan^2theta)-1/2(sin^(- 1)((3sin2theta)/(5+4cos2theta)))` is
A. `npi+pi/4`
B. `npi+tan^(-1)(-2)`
C. `npi+pi/3`
D. `npi+pi/6`
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Correct Answer - A::B
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