383[-Ï€/4,Ï€/4] U [0,Ï€/3]U[-Ï€/8,Ï€/8]
\hspace{-16}$Find Range of $\bf{f(x)=\frac{\sin^{-1}(x)}{2}+\frac{\cos^{-1}(x)}{3}+\frac{\tan^{-1}(x)}{4}}$
-
UP 0 DOWN 0 0 4
4 Answers
36such functions are known as restricted functions..
here sin-1x and cos-1x are res. funcs as have restrcted domains from -1 to 1
thus, -1 < x < 1
now, f(x) = sin-1x2 + cos-1x3 + tan-1x4
= (6sin-1x + 4cos-1x + 3tan-1x)/12 = (2sin-1x + 3tan-1x + 2pi)/12
now, on diff. we can easily find the min val. and max val. of the expression...
