If `-pi/4lexlepi/4` then `abs((sinx,cosx,cosx),(cosx,sinx,cosx),(cosx,cosx,sinx))=0`` then find the number of solution

y=(sinx)^(cosx)+(cosx)^(sinx)

|[cosx,-sinx],[sinx,cosx]|

int(dx)/((sinx+cosx)(2cosx+sinx))=

The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (a) 0 (b) 2 (c) 1 (d) 3

The number of distinct roots of |(sinx, cosx, cosx),(cosx, sinx, cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (A) 0 (B) 2 (C) 1 (4) 2

If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4 , then find x.

((sinx - cosx)/(sinx + cosx))

(d)/(dx)((cosx+sinx)/(cosx-sinx))=

int(cosx)/(sinx+cosx)dx=