The correct answer is D. Bartholomaeus Pitiscus.
Explanation: The term "trigonometry" was first coined by the German mathematician Bartholomaeus Pitiscus in the late 16th century. He used this term in his work to describe the study of the relationships between the angles and sides of triangles.
William Rowan Hamilton was an Irish mathematician known for his work on quaternions, but not for the term "trigonometry."
Euclid was an ancient Greek mathematician known for his contributions to geometry, but he did not invent the term trigonometry.
Isaac Newton was an English mathematician and physicist known for his laws of motion and universal gravitation, but he was not responsible for the term trigonometry.
So, the correct answer is D. Bartholomaeus Pitiscus.