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\sin(\frac{-\pi }{2})+1=0
Add 1 to both sides.
-\sin(-\frac{-\pi }{2})+1=0
Use the property \sin(-x)=-\sin(x).
-1+1=0
Get the value of \sin(-\frac{-\pi }{2}) from trigonometric values table.
0=0
Add -1 and 1 to get 0.
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Compare 0 and 0.