. A treatise on plane and spherical trigonometry, and its applications to astronomy and geodesy, with numerous examples . PM .\ sin(-A) = sinAOP = ^^ = PM OP OP sin A, cos ( — A) = cos AOP: OM OM A = = cos A, OP OP tan (-A) = tan AOP: PM PM OM OM = — tan A. 34. To prove sin (270° + A) = sin (270° - A) =and cos (270° + A) = - cos (270°- A) B = sin A. Let the angle AOP = A; then theangles AOQ and AOE, measured inthe positive direction, =(270°— A) Aand (270°+A) respectively. The triangles POM, QON, and EOLare geometrically equal. — cos A,. EL = QN = OM. ELOE = . QN _ - OM OQ OP sin (270°+ A) = si
. A treatise on plane and spherical trigonometry, and its applications to astronomy and geodesy, with numerous examples . PM .\ sin(-A) = sinAOP = ^^ = PM OP OP sin A, cos ( — A) = cos AOP: OM OM A = = cos A, OP OP tan (-A) = tan AOP: PM PM OM OM = — tan A. 34. To prove sin (270° + A) = sin (270° - A) =and cos (270° + A) = - cos (270°- A) B = sin A. Let the angle AOP = A; then theangles AOQ and AOE, measured inthe positive direction, =(270°— A) Aand (270°+A) respectively. The triangles POM, QON, and EOLare geometrically equal. — cos A,. EL = QN = OM. ELOE = . QN _ - OM OQ OP sin (270°+ A) = sin (270°- A) = - cos A. Also, OLOE: ON OQ PMOP cos (270° + A) = - cos (270°- A) = sin A.
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Keywords: ., bookcentury1900, bookdecade1900, booksubjecttrigono, bookyear1902
