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Assumptions for Trigonometry Inequalities


Hello,

the Sin of a real number between zero and Pi should be positive, as 
Simplify finds out, too.

In[133]:= Simplify[Sin[gamma]>0,0<gamma<Pi]
Out[133]= True

As well, the Sin of a number between -Pi and 0 is negative, but why 
doesn't Simplify evaluate it?  The Less implies that the variable is 
real, I think, however stating it explicitly doesn't change the result.

In[134]:= Simplify[Sin[gamma]<0,-Pi<gamma<0]
Out[134]= Sin[gamma]<0

Are there any hints on that?
Thank you,
Martin


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