The number of distinct real roots of ∣∣ ∣∣sin xcos xcos xcos xsin xcos xcos xcos xsin x∣∣ ∣∣=0 in the interval −π4≤x≤π4 is
(a) 0 (b) 2 (c) 1 (d) 3
if sin−1x+sin−1y=2π3 and cos−1x−cos−1y=π6, then x=
ddx(√cos√x)=