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If $x \in (0, \frac{π}{2})$ , one solution of $\frac{\sqrt{3} - 1}{\sin x} + \frac{\sqrt{3} + 1}{\cos x} = 4 \sqrt{2}$ is $\frac{π}{12}$ , $t h e o t h e r s o l u t i o n i s$ $\frac{λ π}{36}$ where $λ =$

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Correct option is A

Given equation is 3+1sinx+3−1cosx=42sinxcosx⇒3+122sinx+3−122cosx=2sinxcosx⇒sinxcosπ12+cosxsinπ12=sin2x⇒sinx+π12=sin2x⇒2x=nπ+−1nx+π12⇒x=π12 or11π36

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If x∈0,π2, one solution of 3−1sinx+3+1cosx=42 is π12, the other solution isλπ36 where λ=

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If $x \in (0, \frac{π}{2})$ , one solution of $\frac{\sqrt{3} - 1}{\sin x} + \frac{\sqrt{3} + 1}{\cos x} = 4 \sqrt{2}$ is $\frac{π}{12}$ , $t h e o t h e r s o l u t i o n i s$ $\frac{λ π}{36}$ where $λ =$