Math, asked by gillharsh413, 5 months ago

Prove that tan 70°= tan 20° +2tan 50.

Answers

Answered by ammuappu0510

0

Answer:

According to the trigonometric identity,

tan70=tan(20+50)

tan70=(tan20+tan50)/1-tan20tan50

tan70-tan20tan50tan70=tan20+tan50

Also tan70tan20=tan70cot70=1

Hence

tan70-tan50=tan20+tan50

So tan70=tan20+2tan50

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