Question

Which function has the same range as y = csc x?

a.) y = sin x
b.) y = sec x
c.) y = cos x
d.) y = tan x

Answer 1

The answer is B.) Y = sec X.

Answer 2

Option B is the correct answer.

Explanation:

cosce x = 1/ sinx

sec x = 1/cosx

We know that the range of cosx and sinx lies in between -1 and 1.

The both have the same range.

Since they both have the same range their reciprocal will also be having same range.

So cosecx and secx have same range.

Option B is the correct answer.