Asked by lisa
how would you express cos(75 as a single fraction?
Answers
Answered by
visoth
im assuming oyu saying cos75 degree as a simple fraction;
cos(75)=cos(45+30)
recall the formula cos(a+b)=cos a cosb-
sin a sin b
cos(45+30)=cos(30)sin(45)-
sin(30)sin(45)
cos(45+30)=((sqrt(3))/2)((sqrt(2))/2)-…
cos(45+30)
=(sqrt(6)- sqrt(2))/4
cos(75)=cos(45+30)
recall the formula cos(a+b)=cos a cosb-
sin a sin b
cos(45+30)=cos(30)sin(45)-
sin(30)sin(45)
cos(45+30)=((sqrt(3))/2)((sqrt(2))/2)-…
cos(45+30)
=(sqrt(6)- sqrt(2))/4
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