Jeng pedals her bicycle at a rate of 20 cycles per minute. The pedals have a maximum height of 30 cm and minimum height of 8 cm above the ground. The problem asks to (1) calculate the period of each cycle in seconds, (2) write two equations representing the height of Jeng's right foot using sine and cosine, and (3) calculate how long per cycle Jeng's foot is 20 cm or higher above the ground.