HP Prime Graphing NW280AAABA Atan2asinExpr, Atan2asinatan2*x returns, Atan2acosExpr, HalftanExpr

Tangent

atanx → asinx Returns an expression with atan(x) rewritten as:

⎛ x ⎞ asin⎜ -------------------⎟ ⎝ 1 – x2⎠

atan2asin(Expr)

Example:

atan2asin(atan(2*x)) returns

⎛	2 ⋅ x	⎞
asin⎜	--------------------------------⎟
		2
⎝	1 – (2 ⋅ x)	⎠

atanx → acosx Returns an expression with atan(x) rewritten as:

π

--- – 2

⎛ x ⎞ acos⎜ -------------------⎟ ⎝ 1 + x2⎠

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:
	2 ⋅ tan ⎛ -x--⎞
		⎝ 2⎠
halftan(sin(x)) returns	⎛ x⎞	2
	-------------------------------
	tan⎝ 2--⎠	+ 1

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

Functions and commands 335