SOLUTION: hey, please can someone help me simplifying completely this trigonometric expression please: cos(x)^3-sin(x)^3/sin(x)-cos(x)

Question 449163: hey, please can someone help me simplifying completely this trigonometric expression please: cos(x)^3-sin(x)^3/sin(x)-cos(x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
hey, please can someone help me simplifying completely this trigonometric expression please: cos(x)^3-sin(x)^3/sin(x)-cos(x)
..
cos(x)^3-sin(x)^3/sin(x)-cos(x)
factor numerator as difference of cubes
(cos-sin)(cos^2+cossin+sin^2)/(sin-cos)
cos^2+sin^2=1
-(sin-cos)(cossin+1)/(sin-cos)
=1-cossin (ans)
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