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HP Prime Graphing Wireless Calculator User Manual

Page 132

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128

Functions and commands

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

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)

Example:

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

returns

i

2

---

i x

+

(

)

i x

(

)

---------------

ln

3

4

---

x

( )

sin

1

4

---

3 x

(

)

sin

2

x 1

4

--- π

cos