Number of ordered pairs (x,y) satisfying |y|=cosx, y=sin−1(sinx),x∈[−2π,3π] is
3
5
6
7
We observe that graph of y=sin−1(sinx) and |y|=cosx intersect exactly at 5 points.
Total number of ordered pairs (x,y) satisfying |x|+|y|=2, sin(πx23)=1 is