tan20° +tan40°+tan60° +.....+tan180°= ?
a)0
b)1
c)2
d)3
Answers
Answered by
0
Answer:
0
Step-by-step explanation:
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Answered by
2
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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