which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? CHECK ALL THAT APPLY.

A. y=tanx
B.y=secx
C.y=cscx
D.y=cotx

Question

which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? CHECK ALL THAT APPLY.

A. y=tanx
B.y=secx
C.y=cscx
D.y=cotx

jim_thompson5910 · Answer

tan(x) is out because tan(0) = 0, which means that the range of tan(x) is not what is being described above

jim_thompson5910 · Answer

what else is also out

anonymous · Answer

cscx?

jim_thompson5910 · Answer

no, csc(x) = 1/sin(x)

so because the range of sin(x) is  -1 <= y <= 1, the range of csc(x) "flips" (so to speak) to get   y <= -1  or  y >= 1

anonymous · Answer

is cotx out since its opposite to tanx?

jim_thompson5910 · Answer

yes and because

cot(pi/2) = 0 which is also against what is being described above

jim_thompson5910 · Answer

so far, tan(x) and cot(x) have been eliminated as possible answer choices

anonymous · Answer

so the answers are secx and csc x?

jim_thompson5910 · Answer

you are correct

anonymous · Answer

thank you so much!

jim_thompson5910 · Answer

yw