Ernest William Hobson,
Encyclopædia Britannica, Ninth Edition
(1888)
“ Suppose OP of fixed length, equal to OA, and let PM, PN be drawn perpendicular to A A, B B, " respectively; then OM and ON, taken with their proper signs, are the projections of OP on A A and B B. The ratio of the projection of OP on B B to the absolute length of OP is dependent only on the magnitude of the angle POA, and is called the sine of that angle; the ratio of the projection of OP on A A to the length OP is called the cosine of the angle POA. The ratio of the sine of an angle to its cosine is called the tangent of the angle, and that of the cosine to the sine the cotangent of the angle ”
