Question

Find the domain and range of f(x)= asecx+ btanx + c, if a, b, c are not equal to zero.

Answer 1

Answer:

f(x)=a+bcos−1x

Domain: x∈[−1,1]

Range: cos−1x∈[0,π]⇒a+bcos−1x∈[a,a+bπ]

Therefore, −1=a

And 1=a+bπ⇒b=π2

Gives b−a=π2+1