Chest pain that occurs when coughing can be caused by a variety of factors. In some cases, the pain may be due to a condition that affects the chest or upper body, such as pneumonia or pleurisy. In other cases, the pain may be referred from another part of the body, such as the neck or shoulder.

One possible cause of right arm pain when coughing is a condition called costochondritis. Costochondritis is an inflammation of the costochondral joint, which is the joint where the ribs attach to the breastbone. This condition can cause chest pain that radiates to the arm, particularly the right arm.

Costochondritis is often caused by physical strain, such as heavy lifting or coughing, and can also be triggered by respiratory infections or other respiratory conditions, such as asthma. In some cases, the cause of costochondritis is unknown.

Other possible causes of right arm pain when coughing include:

1. Heart attack: Chest pain that radiates to the right arm can be a symptom of a heart attack.
2. Pulmonary embolism: A pulmonary embolism is a blockage in the pulmonary artery, which can cause chest pain that radiates to the arm.
3. Pneumonia: Pneumonia is an infection of the lungs that can cause chest pain and difficulty breathing.
4. Pleurisy: Pleurisy is an inflammation of the lining of the lungs that can cause chest pain that radiates to the arm.

If you experience chest pain when coughing or any other symptoms that concern you, it is important to consult a healthcare professional for a proper diagnosis and treatment.

In conclusion, chest pain that occurs when coughing can be caused by a variety of factors, including costochondritis, heart attack, pulmonary embolism, pneumonia, and pleurisy. Costochondritis is an inflammation of the costochondral joint that can cause chest pain that radiates to the arm, particularly the right arm. If you experience chest pain when coughing or any other symptoms that concern you, it is important to consult a healthcare professional for a proper diagnosis and treatment.