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The value of tan 20° + 2 tan 50° - tan 70°, is

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a

1

b

0

c

tan 50°

d

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detailed solution

Correct option is B

We have,tan⁡20∘+2tan⁡50∘−tan⁡70∘=2tan⁡50∘−tan⁡70∘−tan⁡20∘=2tan⁡50∘−sin⁡50∘cos⁡70∘cos⁡20∘=2tan⁡50∘−2sin⁡50∘2sin⁡20∘cos⁡20∘=2tan⁡50∘−2sin⁡50∘sin⁡40∘=2tan⁡50∘−2sin⁡50∘cos⁡50∘=2tan⁡50∘−2tan⁡50∘=0.

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