Couldn't understand solution tan20+tan40+tan60+tan80+tan100+tan120+tan140+tan160+tan180=0
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tan 20 + tan 40 + tan 60 + tan 80 + tan 100 + tan 120 + tan 140 + tan 160 + tan 180
= tan 20 + tan 40 + tan 60 + tan 80 + tan(180-100) + tan(100 - 120) + tan(100 - 140) + tan(100 - 160) + tan(100 - 180)
= tan 20 + tan 40 + tan 60 + tan 80 - tan 80 - tan 20 - tan 40 - tan 60 - tan 80
= 0.
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