10. The price of a man's shirt went from $10 to $15. What was the percent of increase of the price of the shirt?
2 answers:
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Assuming ya meant 
to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity
divide both sides by
since 
subsitute
recall that
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore
so we get
decompose them into
and 
to get 
multiply by
to get
we can furthur simlify to get
the expression simplifies to tan(x)sin(x)
to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos
for the pythaogreaon identity
divide both sides by
subsitute
recall that
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore
so we get
decompose them into
multiply by
we can furthur simlify to get
the expression simplifies to tan(x)sin(x)