Number of solutions of the equation, \[[y+[y]]=2\text{ }cos\text{ }x\]is: \[(where\text{ }y=(1/3)\text{ }\!\![\!\!\text{ }sinx+[sinx+[sinx]]]\] and [ ] - greatest integer function)
A)0
B)1
C)2
D)\[\infty \]
Correct Answer:
A
Solution :
\[[y]=\cos x\]and \[y=[\sin x]=[\sin x]=\cos x\]not possible for any value of x.