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Question Number 57469 by olalekan2 last updated on 05/Apr/19

((4tan75)/(1−tan^2 75))=(1/(cos150)) find tan75 in surd form

4tan751−tan275=1cos150findtan75insurdform

Commented by kaivan.ahmadi last updated on 05/Apr/19

if you want to find tv75 you can solve: tg75=tg(30+45)=((tg30+tg45)/(1−tg30tg45))= ((((√3)/3)+1)/(1−((√3)/3)×1))=((((√3)+3)/3)/((3−(√3))/3))=((3+(√3))/(3−(√3)))=(((3+(√3))^2 )/6)

ifyouwanttofindtv75youcansolve:tg75=tg(30+45)=tg30+tg451−tg30tg45=33+11−33×1=3+333−33=3+33−3=(3+3)26

Commented by Kunal12588 last updated on 05/Apr/19

=((3((√3)+1)^2 )/6)=(((1+(√3))^2 )/2)=((4+2(√3))/2)=2+(√3)

=3(3+1)26=(1+3)22=4+232=2+3

Commented by olalekan2 last updated on 22/Apr/19

thankz sir

thankzsir

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