Answer: ![\bold{\dfrac{cot(x)}{sin(x)}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cdfrac%7Bcot%28x%29%7D%7Bsin%28x%29%7D%7D)
<u>Step-by-step explanation:</u>
Convert everything to "sin" and "cos" and then cancel out the common factors.
![\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)](https://tex.z-dn.net/?f=%5Cdfrac%7Bcot%28x%29%2Bcsc%28x%29%7D%7Bsin%28x%29%2Btan%28x%29%7D%5C%5C%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%2B%5Cdfrac%7B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Cdiv%5Cbigg%28%5Cdfrac%7Bsin%28x%29%7D%7B1%7D%2B%5Cdfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%2B%5Cdfrac%7B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Cdiv%5Cbigg%5B%5Cdfrac%7Bsin%28x%29%7D%7B1%7D%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bcos%28x%29%7D%5Cbigg%29%2B%5Cdfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%5Cbigg%5D%5C%5C%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%2B%5Cdfrac%7B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Cdiv%5Cbigg%28%5Cdfrac%7Bsin%28x%29cos%28x%29%7D%7Bcos%28x%29%7D%2B%5Cdfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%5Cbigg%29)
![\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)](https://tex.z-dn.net/?f=%5Ctext%7BSimplify%3A%7D%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7Bcos%28x%29%2B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Cdiv%5Cbigg%28%5Cdfrac%7Bsin%28x%29cos%28x%29%2Bsin%28x%29%7D%7Bcos%28x%29%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%5Ctext%7BMultiply%20by%20the%20reciprocal%20%28fraction%20rules%29%7D%3A%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7Bcos%28x%29%2B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Ctimes%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bsin%28x%29cos%28x%29%2Bsin%28x%29%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%5Ctext%7BFactor%20out%20the%20common%20term%20on%20the%20right%20side%20denominator%7D%3A%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7Bcos%28x%29%2B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Ctimes%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bsin%28x%29%28cos%28x%29%2B1%29%7D%5Cbigg%29)
![\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}](https://tex.z-dn.net/?f=%5Ctext%7BCross%20out%20the%20common%20factor%20of%20%28cos%28x%29%20%2B%201%29%20from%20the%20top%20and%20bottom%7D%3A%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Ctimes%5Cbigg%28%5Cdfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%5Cbigg%28%5Cdfrac%7B1%7D%7Bsin%28x%29%7D%5Cbigg%29%5Ctimes%20cot%28x%29%7D%5Cqquad%20%5Crightarrow%20%5Cqquad%20%5Cdfrac%7Bcot%28x%29%7D%7Bsin%28x%29%7D)
Cost of goods = 1,500
Selling expense = 500
Total cost in selling = 1500 + 500 = 2000
Profit = Total Revenue - Total cost in selling = 3000 - 2000 = 1000
Profit = 1000
Hope this explains it.
Answer:
i don't know..........,......