SOLUTION: Please help me to prove that tan^2(x) - sin^(x) = tan^(x) sin^2(x)

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Question 130978: Please help me to prove that tan^2(x) - sin^(x) = tan^(x) sin^2(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's manipulate the left side to transform it into the right side (note: we are not going to even touch the right side)


.... Start with the left side


.... Rewrite as


.... Multiply by


.... Multiply


.... Combine the fractions.


.... Factor out


.... Replace with


.... Replace with




So this shows us that