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10.2.2 Linearizing a trigonometric expression

The tlin command linearizes products and integer powers of the trigonometric functions (e.g. in terms of sin(n x) and cos(n x)).

Examples

Linearize cos(x) cos(y).

tlin(cos(x)*cos(y))
cos ⎛
⎝
x−y⎞
⎠
2
+
cos ⎛
⎝
x+y⎞
⎠
2
          

Linearize cos(x)3.

tlin(cos(x)^3)
3
4
cos x+
cos ⎛
⎝
3 x⎞
⎠
4
          

Linearize 4cos(x)2−2.

tlin(4*cos(x)^2-2)
2 cos ⎛
⎝
2 x⎞
⎠
          

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