Answer:
A. y=sec x
D. y= csc x
Step-by-step explanation:
We have that,
Range of the functions is the set of all real numbers greater than or equal to 1 or less than or equal to -1.
As, we know that,
Range of the functions, y = tanx and y = cotx is [tex](-\infty,\infty)[/tex] i.e. the set of all real numbers.
So, options B and C are discarded.
Since, [tex]\csc x=\frac{1}{\sin x}[/tex] and [tex]\sec x=\frac{1}{\cos x}[/tex].
Thus, their range will be greater than the the range of y = sinx and y = cosx.
Now, as it is known that the range of the functions y = sinx and y = cosx is [-1,1].
Then, the range of y=sec x and y= csc x is the set of all real numbers greater than or equal to 1 or less than or equal to -1.
Hence, options A and D are correct.
