Question 62
What is the size of the angle $x$ in degrees, if $2 \cos 10^\circ + \sin 100^\circ + \sin 1000^\circ + \sin 10000^\circ = \sin x$ and $-90^\circ \le x \le 90^\circ$ holds?
(A) -80
(B) -10
(C) 0
(D) 10
(E) 80
(A) -80
(B) -10
(C) 0
(D) 10
(E) 80