The critical angle for total internal reflection at a water–air interface is given by θc=arcsin(n1), where n is the index of refraction of water. At an instant when n=1.333 and dtdn=−0.001min−1, determine dtdθc in radians per minute.
a) −8.5×10−4
b) 8.5×10−4
c) 3.6×10−4
d) 1.13×10−3