Q Find the domain y=cos-1x21+x2 - Maths - Trigonometric Functions

Question

Q Find the domain
y = cos - 1 x 2 1 + x 2

Lovina Kansal · Accepted Answer

Dear student
We have,y=cos-1x21+x2We know,cos-1(f(x))⇒-1≤f(x)≤1So, -1≤x21+x2≤1This is true for all xFInd undefined points:Take the denominator of cos-1x21+x2 and compare to zero
i
e 1+x2=0x2=-1x=±iThe following points are undefinedSo, there is no real undefined points
Thus, the function has no undefined points nor domain constraints
Therefore,the domain is -∞<x<∞i
e Domain=-∞,∞
Regards

Q. Find the domain y = cos - 1 x 2 1 + x 2

Q. Find the domain
$y = \cos^{- 1} (\frac{x^{2}}{1 + x^{2}})$