hp40g+.book Page 43 Friday, December 9, 2005 1:03 AM

 

gives:

 

 

4·cos(x)3–3·cos(x)

TLIN

Linearize a trigonometric expression

 

TLIN has as an argument a trigonometric expression.

 

TLIN linearizes this expression in terms of sin(n x) and

 

cos(n x).

 

Example 1

 

Typing:

 

 

TLIN(COS(X) · COS(Y))

 

gives:

 

 

1

1

 

-- ⋅

cos(x – y) + -- ⋅ cos(x + y)

 

2

2

 

Example 2

 

Typing:

 

 

TLIN(COS(X)3)

 

gives:

 

 

1

3

 

-- ⋅

cos(3 ⋅ x) + -- ⋅ cos(x)

 

4

4

 

Example 3

 

Typing:

 

 

TLIN(4·COS(X)2-2)

 

gives:

 

 

2 ⋅ cos(2 ⋅ x)

TRIG

Simplify using sin(x)2 + cos(x)2 = 1

 

TRIG has as an argument a trigonometric expression.

TRIG simplifies this expression using the identity sin(x)2 + cos(x)2 = 1.

Computer Algebra System (CAS)

14-43