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In $(0, \frac{π}{2})$ , one solution of $(\sqrt{3} + 1) \cos e c x + (\sqrt{3} - 1) \sec x =$ $4 \sqrt{2}$ is $\frac{5 π}{12}$ . If other solution is $\frac{λ π}{36}$ then $λ$ =

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Correct option is C

3+1cosecx+3−1secx=42⇒3+1cosx+3−1sinx=42sinxcosx⇒3+122cosx+3−122sinx=2sinxcosx⇒sinx+5π12=sin2x⇒2x=nπ+−1nx+5π12⇒x=5π12 or x=7π36⇒λ=7

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In0,π2, one solution of 3+1cosecx+3−1secx=42 is 5π12. If other solution is λπ36 then λ=

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In $(0, \frac{π}{2})$ , one solution of $(\sqrt{3} + 1) \cos e c x + (\sqrt{3} - 1) \sec x =$ $4 \sqrt{2}$ is $\frac{5 π}{12}$ . If other solution is $\frac{λ π}{36}$ then $λ$ =