Question

what is the value of tan20+tan40+root 3 tan20+tan40?

Answer 1

= (tan 20 + tan 40)/(1- tan 20 tan 40)
or tan 60 - tan 60 tan 20 tan 40 = tan 20 + tan 40
or √3 - √3 tan 20 tan 40 = tan 20 + tan 40
or tan 20 + tan 40 + √3 tan 20 tan 40 = √3
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