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if x>or equal to 0 and a=sin^-1x+cos^-1x-tan^-1x then find the range of a

if x>or equal to 0 and a=sin^-1x+cos^-1x-tan^-1x then find the range of a

Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
a = sin^-1 x + cos^-1 x – tan^-1 x
 
now
 
sin^-1 x + cos^-1 x = pi / 2
 
but now tan^-1 x will be considered only for [0,1]
 
hence range = [pi/2 – pi/4 , pi/2 – 0] = [pi/4 , pi/2]

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