If cotangent equals four thirds what is the cosecant

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.

Answer: 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.