Trigonometric Power Reduction Formulas using Symbolic Matlab

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Hi,
How can i get 1/2(1-cos(2*a)) by rewriting sin(a)^2 using Symbolic Matlab toolbox?
On the other hand if I use rewrite(.5*(1- cos(2*a)),'sin'), i will get sin(a)^2, can't I do the reverse of this process?
Thanks

采纳的回答

Karan Gill
Karan Gill 2016-12-9
Here, you want to change the input from "sin" from "a" to cos with "2*a". Essentially, you want make the argument of the function more complicated. The "combine" command does that.
>> syms a
>> f = sin(a)^2;
>> combine(f,'sincos')
ans =
1/2 - cos(2*a)/2
  1 个评论
Star Strider
Star Strider 2016-12-9
Wow! The combine function has been around since R2014a. I need to read the Release Notes more carefully.

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更多回答(1 个)

Walter Roberson
Walter Roberson 2016-12-4
syms a
simplify(rewrite(rewrite(sin(a)^2,'tan'),'sin'))

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