Question

The number of elements belonging to the range of f(x)= cos^(-1)x-sin x where * represents the greatest integer function is (Given that sin 1=0.841470......)​

Answer 1

Answer:

Given, f(x)=sin^−1

(log[x])+log(sin^−1[x])

For given function to exist 0<[x]≤1⇒1≤x<2⇒[x]=1

Thus domain is (1,2)

And range =sin

−1

0+log

2

π

=log

2

π

Step-by-step explanation: