HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 424)

100

101

Rewrite – Trig

trigx→sinx

Returns an expression simplied 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

trigx→cosx

Returns an expression simplied 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 simplied 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.

trig2ln(Expr)

Example:

atrig2ln(atan(x)) returns

tlin

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

tlin(ExprTrig)

Example:

tlin(sin(x)^3) gives

tcollect

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

together.

tcollect(Expr)

376 Chapter 22 Functions and commands

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