Math, asked by amaranthhc, 5 months ago

prove that Tan70- Tan20=
2tan50

Answers

Answered by Enlightenedboy

4

Step-by-step explanation:

tan70=tan(50+20)

tan70=(tan50+tan20)/(1-tan50tan20)

tan70(1-tan50tan20)=tan50+tan20

tan70-tan70tan50tan20=tan50+tan20

tan70-tan(90-20)tan50tan20=tan50+tan20

tan70-cot20tan50tan20=tan50+tan20

tan70-(cot20tan20)tan50=tan50+tan20

tan70-(1)tan50=tan50+tan20

tan70-tan50=tan50+tan20

tan70=tan20+2tan50

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