Math, asked by swaranjeetkaur, 1 year ago

prove that:
tan70°=tan20°+2tan50°

Answers

Answered by NabasishGogoi

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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prove that: tan70°=tan20°+2tan50°

Answers

prove that:
tan70°=tan20°+2tan50°