Q45 of 55 Page 35

Fill in the blanks

The value of expression when is_______.

The value of expression when is 1.


when


We know that, (sin–1 x + cos–1 x) for all |x| ≤ 1 is


As, lies in domain.


So,


= 1


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The value of is ________.

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The value of cos (sin–1 x + cos–1 x), |x| ≤ 1 is ________.

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If y = 2 tan–1 x + sin–1 for all x, then ____ < y < ____.

 47

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The result tan–1 x – tan–1( x-y/1+xy ) is true when value of xy is _________.