Question

Prove that tan 70° - tan 20º = 2 tan 50°​

Answer 1

Answer:

According to trigonometry identity,

tan 70=tan (20+50)

tan 70= (tan20+tan50)/1-tan20tan50

tan 70-tan20tan50tan70=tan20+tan50

also,

tan70tan20=tan70 cot 70=1

hence,

tan 70-tan 50-tan20 + tan 50

so,

tan 70= tan20+ 2 tan 50..

Step-by-step explanation:

hence proved..!!