Q1:- Find the domain of the following functions:-
(a) :- f(x) = (cos(sin x))1/2
(b) :- f(x) = (sin(cos x))1/2
Q2:- Find the range of the following function:-
f(x) = [sin{ln((x2 + e)/(x2 +1))}]1/2 + [cos{ln((x2 + e)/(x2 +1))}]1/2
Answers:-
Q.1 a)x belongs to R
Q.1 b)x belongs to 2n(pie)±(pie)/2
Q.2 x belongs to R
For explaination contact me
q1 a x belongs to [0,pie]
b x belongs to [-pie/2,pie/2]
b x belongs to [-pie/2,pie/2]
Shashank Todwal's reply fot the first question is right. The domain for the 1(b) is (4n+1)[(+pie)/2 to (-pie)/2]
The range for the second question is f(X) belongs to (1,0). However the domain for this question is that x belongs to the set of real numbers.
Asif Zafar, put x=pie in q.1)b which is valid in the domain given by you.But in that case f(x) is imaginery.So i think your answer is wrong.
BYE!!!
I assumed one would move conterclockwize on the coordiante plane.
If one moves clockwize(like ur doing) then the domain is (4n+1)[(-(pie)/2 to + (pie)/2].
If one moves clockwize(like ur doing) then the domain is (4n+1)[(-(pie)/2 to + (pie)/2].