Question

Question #001f0

Answer 1

`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`