If cotangent equals four thirds what is the cosecant

1/3

Step-by-step explanation:

cotangent equals cos/sin. So the sin is 3. And cosecant is 1/sin.  So that means its 1/3.

The cosecant is 5/3.

Step-by-step explanation:

The cotangent is equal to adjacent/opposite while cosecant is hypotenuse/opposite.

Based from the given, adjacent = 4 and opposite = 3. We need to find the hypotenuse. Using the Pythagorean theorem c= square root of a²+ b², where c is the hypotenuse.

c= √(4²+3²)

c = √(16+9)

c= √25

c=5 so our hypotenuse is 5.

cosecant is equal to hypotenuse/opposite so we have 5/3.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

the correct answers i think are b. and d.

give me brainliest if it is correct!