HP Prime Graphing NW280AAABA TrigcosExpr, TrigtanExpr, Atrig2lnExpr, TlinExprTrig, TcollectExpr

trigx → cosx Returns an expression simplified using the formulas sin(x)^2+cos(x)^2=1 and tan(x)=sin(x)/cos(x). Cos(x) is given precedence over sin(x) and tan(x) in the result.

trigcos(Expr)

Example:

trigcos(sin(x)^4+sin(x)^2) returns cos(x)^4- 3*cos(x)^2+2

trigx → tanx Returns an expression simplified using the formulas sin(x)^2+cos(x)^2=1 and tan(x)=sin(x)/cos(x). Tan(x) is given precedence over sin(x) and cos(x) in the result.

trigtan(Expr)

Example:

trigtan(cos(x)^4+sin(x)^2) returns (tan(x)^4+tan(x)^2+1)/(tan(x)^4+2*tan(x)^2+1)

atrig2ln Returns an expression with inverse trigonometric functions

rewritten using the natural logarithm function.

atrig2ln(Expr)

Example:

atrig2ln(atan(x)) returns --i- ⋅ ln (i + x) 2 ---------------

(i – x)

tlin Returns a trigonometric expression with the products and integer powers linearized.

tlin(ExprTrig)

Example:

tlin(sin(x)^3) gives	3	⋅	sin	x	)	–	1	⋅	sin	3	⋅	x	)
	4						4
	---		(				--		(

tcollect Returns a trigonometric expression linearized and with any sine and cosine terms of the same angle collected together.

tcollect(Expr)

Example:

tcollect(sin(x)+cos(x)) returns

2	⋅ cos	⎛	1	⎞
		⎝	x – ---	⋅ π
			4	⎠

336 Functions and commands