Menu Close

tan-1-tan-5-tan-9-tan-173-tan-177-




Question Number 147651 by iloveisrael last updated on 22/Jul/21
 tan 1°+tan 5°+tan 9°+...+tan 173°+tan 177°=?
tan1°+tan5°+tan9°++tan173°+tan177°=?
Commented by mr W last updated on 22/Jul/21
=45
=45
Commented by iloveisrael last updated on 23/Jul/21
is the formula    tan α+tan (60°−α)+tan (60°+α)=3tan (3α)   correct ?
istheformulatanα+tan(60°α)+tan(60°+α)=3tan(3α)correct?
Answered by mathmax by abdo last updated on 22/Jul/21
S=tan((π/(180)))+tan(((5π)/(180)))+tan(((9π)/(180)))+....+tan(((169π)/(180)))+tan(((173π)/(180)))+tan(((177π)/(180)))  S=tan((π/(180)))+tan(((5π)/(180)))+tan(((9π)/(180)))+...+tan(π−((9π)/(180)))+tan(π−((5π)/(180)))  +tan(π−(π/(190))) =0
S=tan(π180)+tan(5π180)+tan(9π180)+.+tan(169π180)+tan(173π180)+tan(177π180)S=tan(π180)+tan(5π180)+tan(9π180)++tan(π9π180)+tan(π5π180)+tan(ππ190)=0

Leave a Reply

Your email address will not be published. Required fields are marked *