Asked by Rabinprakash
Tan20+4sin20=√3
Answers
Answered by
Damon
Reiny already showed you that this can not be true.
http://www.jiskha.com/display.cgi?id=1442757482
http://www.jiskha.com/display.cgi?id=1442757482
Answered by
Reiny
Ahhh, you changed it
LS = sin20/cos20 + 4sin20
= sin20/cos20 + 4sin20cos20/cos20
= (sin20 + 4sin20cos20)/cos20
= (sin 20 + 2sin40)/cos20
= (sin20 + 2sin(60-20))/cos20
= (sin20 + 2sin60cos20 - 2cos60sin20)/cos20
= (sin20 + √3 cos20 - sin20)/cos20
= √3cos20/cos20
= √3
LS = sin20/cos20 + 4sin20
= sin20/cos20 + 4sin20cos20/cos20
= (sin20 + 4sin20cos20)/cos20
= (sin 20 + 2sin40)/cos20
= (sin20 + 2sin(60-20))/cos20
= (sin20 + 2sin60cos20 - 2cos60sin20)/cos20
= (sin20 + √3 cos20 - sin20)/cos20
= √3cos20/cos20
= √3
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