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sin cos tan 75?
(31/2+1)/(2*21/2)
(31/2-1)/(2*21/2)
(31/2+1)/(31/2-1)
Dear Balsingh,
sin(75)=sin(45+30)=sin45cos30+sin30cos45=sqrt(2)/2*sqrt(3)/2+1/2*sqrt(2)/2factor out a sqrt(2) and the 1/4 and you getSin75° = √2/4(1+√3)cos(75)=cos(45+30)=cos45cos30-sin45sin30=sqrt(2)/2*sqrt(3)/2-sqrt(2)/2*1/2factor out a sqrt(2) and the 1/4 and you getCos75° = √2/4(√3-1)tan75=sin75/cos75=√2/4(1+√3)/√2/4(√3-1)the √2/4 goes awayso it''s (1+√3)/(√3-1)rationalize the denominator by multiplying (1+√3) on the top and bottomyou get (1+√3)^2/2 after simplifying=(1+2√3+3)/2=√3 +2
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