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Range of f(x)= cos -1 x + 2sin -1 x +3tan -1 x is :

Range of f(x)= cos-1x + 2sin-1x +3tan-1x is :

Grade:12th pass

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
9 years ago
Use this to reduce the function
cos-1x + sin-1x = pi/2.
after using this the function will just be “pi/2 +sin-1x +3tan-1x” and we can see both are monotonous fucnctions and that too increasing soo put in the values from maxima to minima to get in the answers for the range

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