Question

Prove that tan20°. tan 40°. tan 60° tan 80° = 3.

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Answer 1

Answer:

Step-by-step explanation:

We know that [tex]tan3@=tan@*tan(60+@)*tan(60-@) (here take @ value 20 )[tex]

= [tex]tan20*tan(60-20)*tan(60+@) * tan60[tex]

= [tex]tan 60 * tan60[tex]

=[tex] √3*√3[tex]

= 3

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