HP 40gs User Manual

Page 225

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Computer Algebra System (CAS)

14-43

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:

Example 2

Typing:

TLIN(COS(X)

3

)

gives:

Example 3

Typing:

TLIN(4·COS(X)

2

-2)

gives:

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.

1
2

---

x y

(

)

cos

1
2

---

x y

+

(

)

cos

+

1
4

---

3 x

(

)

cos

3
4

---

x

( )

cos

+

2

2 x

(

)

cos

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

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