HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 225
Example 1, Example 2, Example 3, Simplify using sinx
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hp40g+.book Page 43 Friday, December 9, 2005 1:03 AM TLIN TRIG gives: 4·cos(x)3-3·cos(x) 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-- ⋅ cos(x - y) + 1-- ⋅ cos(x + y) 2 2 Example 2 Typing: TLIN(COS(X)3) gives: 1-4 ⋅ cos (3 ⋅ x) + 3-4 ⋅ cos (x) Example 3 Typing: TLIN(4·COS(X)2-2) gives: 2 ⋅ cos(2 ⋅ x) 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
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