Question #001f0

1 Answer
Cem Sentin
Oct 26, 2017

sqrt3

Explanation:

tan20+4sin20

=sin20/cos20+4sin20

=(sin20+4sin20*cos20)/cos20

=(sin20+2sin40)/cos20

=(sin40+sin20+sin40)/cos20

=(2sin30*cos10+sin40)/cos20

=(cos50+cos10)/cos20

=(2cos30*cos20)/cos20

=2cos30

=sqrt3

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