HP Prime Graphing Wireless Calculator - Manual (Page 131)

Functions and commands 127
Tangent
atanx → asinx Returns an expression with atan(x) rewritten as:
atan2asin(Expr)
Example:
atan2asin(atan(2*x)) returns
atanx → acosx Returns an expression with atan(x) rewritten as:
atan2acos(Expr)
tanx → sinx/cosx Returns an expression with tan(x) rewritten as sin(x)/cos(x).
tan2sincos(Expr)
Example:
tan2sincos(tan(x))
gives
sin(x)/cos(x)
halftan Returns an expression with sin(x), cos(x) or tan(x) rewritten as
tan(x/2).
halftan(Expr)
Example:
halftan(sin(x)) returns
Trig
trigx → sinx Returns an expression simplified using the formulas
sin(x)^2+cos(x)^2=1 and tan(x)=sin(x)/cos(x). Sin(x) is given
precedence over cos(x) and tan(x) in the result.
trigsin(Expr)
Example:
trigsin(cos(x)^4+sin(x)^2) returns sin(x)^4-
sin(x)^2+1
x
1 x
2
–
--------------------
 
 
 
asin
2 x ⋅
1 2 x ⋅ ( )
2
–
---------------------------------
 
 
 
asin
π
2
---
x
1 x
2
+
--------------------
 
 
 
acos –
2
x
2
---
 
  tan ⋅
x
2
---
 
 
2
tan 1 +
--------------------------------