Math, asked by devanshukhatwan, 1 year ago

Prove that tanπ/16 + 2tanπ/8 +4= cotπ/16​

Answers

Answered by ps007
30
by using the identity : tan A = cot A - 2cot 2A

= { cot π/16 - 2 cot 2(π/16) } + 2{ cot π/8 - 2cot 2(π/8)} + 4
= cot π/16 - 2cot π/8 + 2cot π/8 - 4cot π/4 + 4
= cot π/16 - 4(1) +4
= cot π/16


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