Question

If |cos^(-1)x|<(pi)/(3) then the set of exhaustive values of x is​

Answer 1

Given :   | cos⁻¹ x | < π/3  

To Find : values of x

Solution:

Principle Range of cos⁻¹ is  [0  , π]

Hence | cos⁻¹ x |  = cos⁻¹ x  

cos⁻¹ x   <  π/3  

cos⁻¹   (1/2)   =  π/3

cos⁻¹   (√3 / 2)    =  π/6

cos⁻¹    1   =    0

Hence     x  ∈ (1/2 ,  1]

x  ∈ (1/2 ,  1]

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Answer 2

Step-by-step explanation:

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