Find the real values of x for which the function `f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x)` is defined

Find the real values of x for which the function `f(x) = cos^(-1) sqrt

1.	Find the real values of x for which the function `f(x) = cos^(-1) sqrt(x^(2) + 3 x + 1) + cos^(-1) sqrt(x^(2) + 3x)` is defined
Answer» Correct Answer - `x = 0, -3` We have `f(x) = cos^(-1) sqrt(x^(2) + 3x + 1) + cos^(-1) sqrt(x^(2) + 3x)` We must have `0 le x^(2) + 3x + 1 le 1 and 0 le x^(2) + 3x le 1` `rArr x^(2) + 3x = 0` `rArr x = 0, -3`

`tan^(-1)[(cosx)/(1+sinx)]`is equal to`pi/4-x/2,forx in (-pi/2,(3pi)/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-(3pi)/2,pi/2)`
The value of `sin^(-1)(sin12)+sin^(-1)(cos12)=`
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