Which of the following trigonometric fuuctions has a range of apply all real numbers? select all that apply.

y=tan x and y=cotx

Step-by-step explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers.  Let us discuss one by one

1. y =sinx:  False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx:  True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x:   False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1

the answer

b. they are parallel and will never intersect.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.