The value of cot71°2-cot371°2-cot521°2+cot821°2 is
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a
42
b
22
c
2
d
2
answer is A.
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Detailed Solution
cot71°2-cot371°2-cot521°2+cot821°2=cot71°2-cot371°2-tan371°2+tan71°2 =cot71°2+tan71°2-cot371°2+tan371°2 =2cosec15∘-2cosec75∘ since cotθ+tanθ=2cosec2θ=2223-1-223+1=4223-1=42