Don't ✘ post irrelevant answers
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______________________ ur answer!!
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Sec-1 [ 1/4 Σ sec ( 7π/12 + kπ/12) sec ( 7π/12 + (k+1)π/2) ]
= Sec-1 [ 1/4 Σ sec ( 7π/12 + kπ/12) cosec ( 7π/12 + kπ/2) ]
= Sec-1 [ -1/4 Σ 2/ sin ( 7π/6 + kπ)
= Sec-1 [ 1/2 Σ 1/(-1) ^(k+1)sin (π/6)
= Sec-1 [ Σ 1/(-1) ^(k+1)]
= Sec-1 (1)
= 0
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