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Let alpha and beta be non-zero real numbers such that 2left( cos { beta } -cos { alpha } right) cos { alpha } cos { beta } =1. Then which of the following is/are true?sqrt { 3 } tan { left( dfrac { alpha }{ 2 } right) } tan { left( dfrac { beta }{ 2 } right) } =0sqrt { 3 } tan { left( dfrac { alpha }{ 2 } right) } -tan { left( dfrac { beta }{ 2 } right) } =0tan { left( dfrac { alpha }{ 2 } right) } sqrt { 3 } tan { left( dfrac { beta }{ 2 } right) } =0tan { left( dfrac { alpha }{ 2 } right)
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