Posted by David on .
If 1/cos  cos=a^3 and 1/sin  sin=b^3
Show that tan=a/b

math 
MathMate,
a^3=1/coscos = (1cos^2)/cos=sin^2/cos
b^3=1/sinsin = (1sin^2)/sin=cos^2/sin
a^3/b^3=sin^2/cos * cos^2/sin=sin^3/cos^3
=>
a/b=sin/cos = tan
(Hope you understand your own notations.)