Question

If S={ x ∈ R : sin−1$( \frac{x + 1}{ √ x^ 2 + 2 x + 2} )$−-sin−1$(\frac{x}{√x ^2+1 }) = \frac{π}{ 4}$}
then $∑_{x∈R }(sin( (x^2+x+5)\frac{π}{2})−cos( ( x^2+x+5)π ) )$is equal to ____.

Answer 1

The correct answer is: 4