HP 40gs User Manual
Page 225

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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