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replacing even powers of sin(x) by powers of (1-cos(x)^2)

asked 2022-08-03 21:55:57 +0200

rhaynes74 gravatar image

Hi folks, I would like to force sage to take an expression like

f = cos(x)(sin(x))^2+cos(x)^3(sin(x))^5

and replace the even powers of sin(x) by powers of (1-cos(x)^2), so that the above would become


Any suggestions?

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answered 2022-08-03 23:17:30 +0200

Max Alekseyev gravatar image

One can use wildcards for this purpose:

f = cos(x)*(sin(x))^2+cos(x)^3*(sin(x))^5
w = SR.wild(0)
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Asked: 2022-08-03 21:55:57 +0200

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Last updated: Aug 03 '22