Many times when the person is breathing rapidly, the body is trying to compensated either for a V/Q mismatch (oxygenation or ventilation) problem or an acid-base problem. The person must maintain an overall minute ventilation determined by the body to stay alive.
The respiratory system is the body's first line attempt at normalizing the body.
Ex. Ketoacidosis - DKA - The pathogenesis of DKA is mainly due to acidosis. Excessive production of ketone bodies lowers the pH of the blood; a blood pH below 6.7 is incompatible with life. In order for the body to survive it orders Kussmaul breathing to blow off the CO2 and raise the pH. If a person tires and can no longer effectively keep up the rate and depth of respiratory effort to maintain a pH compatible with life, patient dies. Pet peeve is hearng some one tell the patient to slow down their respirations during a DKA crisis. This only demonstrates a lack of knowledge of what the body is trying to do. Focus at that time should be starting the treatment quickly and let the body do its thing. Even with the modern ICU ventilation technology, the body is still better until definitive treatment is done to correct the situation.
Biot's breathing is another which is often the result of increased intracranial pressure. You can not effectively "coach" a patient out of something the body is trying to correct or respond to.
Pulmonary Emboli - In all cases of PE, ventilation/perfusion (V/Q) mismatch occurs to some degree, in which continued ventilation of lung units without circulation is present. Oxygenation is usually not affected by the V/Q mismatch, in contrast with V/Q mismatch that arises from obstruction of airways and lung parenchyma. Impaired oxygenation in the context of suspected PE implies a massive obstruction.
An increase in effective alveolar dead space is a direct result of the V/Q mismatch. Ventilation (carbon dioxide removal) is usually compensated for by tachypnea.
Pneumonia - Poorly ventilated areas of the lung may remain well perfused, resulting in ventilation/perfusion (V/Q) mismatch and hypoxemia. Tachypnea and hypoxia are common. The body agains tries to compensate by trying to move more air (oxygen) to that area.
PCP or pneumocystis pneumonia patients will often present with extreme tachypnea and at the BLS level, high flow NRBM will be the only thing you can offer them. They will probably still over breathe the flow on the 15 L mask because their minute ventiation requirement might be 25 L/ minute.
Chest Pain - all depends on the etiology of the pain. This presents many reasons for tachypnea that the body may be trying to compensate. The simplest cause, pain whether muscular or otherwise, may have to be alleviated first by some means either position of comfort, oxygen or pharmocologically. If there is a V/Q mismatch problem or cardiac output problem, then that will have to be dealt with but will probably require more diagnostics then available to you.
Good overview:
http://www.son.washington.edu/cne/conf/handouts/Lee.pdf
So, the way to "coach" a patient's respiration is to understand the pathophysiology of the disease process and why the body is wanting to breathe in that pattern. Altering the body's compensation process to a "text book norm" may lead to a rapid decompensation of the patient. Observe the patient to get a feel for what their overall minute ventilation requirement is and then you may be able to help them maintain that level more effectively.