Question

Prove that tan20tan40tan60tan80=3

Answer 1

√3 tan 20 tan (60 - 20) tan (60 + 20)
√3 tan 20 ( √3 - tan 20 / 1+ √3 tan 20) (√3 + tan 20 / 1 - √3 tan 20 )
√3 ( 3 tan 20 - tan^3 20 / 1 - 3 tan ^2 20)
√3 tan (3 * 20)
√3 tan 60 tan 80 = 3

Answer 2

Answer:

your answer attached in the photo