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Questions  

The value of cot7π16+2cot3π8+cot15π16=

a
4
b
2
c
-2
d
-4

detailed solution

Correct option is D

cot7π16+2cot3π8+cot15π16=tanπ2-7π16+2tanπ2-3π8+cot π-π16=tanπ16-cotπ16+2tanπ8=-2cotπ8+2tanπ8=-2cotπ8-tanπ8=-2·2cotπ4=-4

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