Domain : functions

domain of :
cosec-1[1+sin2x]

[.] : Greatest integer function

3 Answers

106
Asish Mahapatra ·

domain is all real nos.

6
AKHIL ·

ya it shud be R

1
shubham_pandey Pandey ·

yup R is the solution
see cosec-1 takes an input of >1 only
1 + sin2x has a minimum value of 1 as sin2x lies between 0 and1 and hence any input will be valid the gif modifies it to the the extent that only 1 and 2 will be inputs to cosec-1 where 2 comes at x=90o and rest other giving 1

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