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TrigReduce
TrigReduce[
expr
] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.
TrigReduce operates on both circular and hyperbolic functions. Given a trigonometric polynomial, TrigReduce typically yields a linear expression involving trigonometric functions with more complicated arguments. See the Mathematica book: Section 1.4.5, Section 3.3.7. See also: TrigExpand, TrigFactor, TrigToExp, Simplify, FullSimplify.
Further Examples
TrigReduce uses trigonometric identities to simplify expressions.
In[1]:= 
Out[1]= 
In[2]:= 
Out[2]= 
See the Further Examples for TrigFactor, TrigExpand.
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