If x^2 = 0, x = 0 Only 0^2 can equal 0.
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Only if the value of x is zero
x^2 + x = 0 x(x+1) = 0 x = 0 and x = -1
It is x = 0.
Yes. Except where sin x = 0, because then you would be dividing by zero so the quotient is undefined.
One plus cosecant squared x is equal to cotangent squared x.