Q46 of 55 Page 35

Fill in the blanks

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

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



We know that,



So,



=4 tan-1 x


So, y = 4 tan-1 x


As, principal value of tan-1 x is


So,


Hence, -2π < y < 2π


More from this chapter

All 55 →
44

Fill in the blanks

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

 45

Fill in the blanks

The value of expression when is_______.

 47

Fill in the blanks

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

 48

Fill in the blanks

The value of cot–1(–x) for all x ϵ R in terms of cot–1 x is _______.