Math, asked by anila44214149, 10 months ago

tan20+tan40+tan60+••••+tan180​

Answers

Answered by mahiwalkumarmahi30
1

Answer:

tan20+tan40+tan60+••••+tan180

Step-by-step explanation:

1

Answered by kush193874
2

Answer:

Answer :

a) 0

Step-by-step explanation :

tan20° + tan40° + tan60° + ... + tan180°

= tan20° + tan160° + tan40° + tan140° + tan60° + tan120° + tan80°+ tan100° + tan180°

= tan20° + tan(180° - 20°) + tan40° + tan(180° - 40°) + tan60° + tan(180° - 60°) + tan80° + tan(180° - 80°) + tan180°

= tan20° - tan20° + tan40° - tan40° + tan60° - tan60° + tan80° - tan80° + tan180°

= tan180°

= 0

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