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332 Functions and commands
asinx → atanx Returns an expression with arcsin(x) rewritten as arctan(x/
sqrt(1-x^2)).
asin2atan(Expr)
Example:
asin2atan(2*asin(x)) gives 2*atan(x/(sqrt(1-
x^2)))
sinx → cosx/tanx Returns an expression with sin(x) rewritten as cos(x)*tan(x).
sin2costan(Expr)
Example:
sin2costan(sin(x)) gives tan(x)*cos(x)
Cosine
acosx → asinx Returns an expression with arccos(x) rewritten as pi/2-
arcsin(x).
acos2asin(Expr)
Example:
acos2asin(acos(x)+asin(x)) gives pi/2-
asin(x)+asin(x)
acosx → atanx Returns an expression with arccos(x) rewritten as pi/2-
arctan(x/sqrt(1-x^2)).
acos2atan(Expr)
Example:
acos2atan(2*acos(x)) gives 2*(pi/2-atan(x/
(sqrt(1-x^2))))
cosx → sinx/tanx Returns an expression with cos(x) rewritten as sin(x)/tan(x).
cos2sintan(Expr)
Example:
cos2sintan(cos(x)) gives sin(x)/tan(x)
Tangent
atanx → asinx Returns an expression with arctan(x) rewritten as arcsin(x/
sqrt(1+x^2)).
atan2asin(Expr)