## Elements of Plane Trigonometry |

### From inside the book

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**AP**DP AD**AP**is the secant of A ; is the cotangent of A.**AP**DP B For the sake of abbreviation the above quantities are generally put sin A , cos A , tan A , sec A , cosec A , cot A. 1- cos A is defined to be the versed sine of A , or ... Page 8

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**AP**ᎠᏢ AD**AP**is the secant of A ; is the cotangent of A.**AP**DP B For the sake of abbreviation the above quantities are generally put sin A , cos A , tan A , sec A , cosec A , cot A. 1. cos A is defined to be the versed sine of A ... Page 9

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**AP**+ AD2 AD2 AD2 AD23 AP2 2 i.e. 1 : ( 1 ) + ( 0 ) DP but is the cosine of A , and is the sine of A , by the AD ...**AP**= sin A , and cos A , AD AD cos A. sin A we have DP AD sin A , and**AP**= Now tan A = = DP AD sin A -**AP**AD cos A ... Page 10

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**AP**\ 2 DP \ 2 AD 2 + - that is cot2 4 + 1 cosec2 A ; = .. cosec A - ( 1 ) The sine of an angle complement . Since L ADP √ ( 1 + cot2 A ) . is equal to the cosine of its**AP**- · 90 ° — A , and sin ADP : = cos A , AD DP COS ADP = sin A ... Page 25

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**AP AP AP**EF PG + AP AP EF AF PG PF + AF AP PF AP = EF but by the definitions , sin A , AF AF PG AP and = cos B ; also = cos FPG = cos A , PF PF AP and = sin B , hence .. sin ( A + B ) = sin A cos B + cos A sin B. AD AE - DE AE GF cos ...### Other editions - View all

### Common terms and phrases

1+tan AB² AC² angle ACB AP AP AP AP² ARITHMETIC Asin Atan B+cot centre circular measure circumference cos² cos³ cosec cosine cot 4+cot cot A cot cot² OCA diameter distance equal equation Euclid feet Find the number formula given GRAMMAR height Hence hexagon inscribed circle IVY LANE J. R. Young King's College School log blog logarithms nth root number of degrees number of sides perimeter perpendicular plane triangle quadrant radii radius ratio regular polygon Rudimentary Treatise sec² shew sin A cos sin A sin sin¹ sin2 sin² 18 sin³ sine and cosine square subtend subtracted T. H. L. Leary tan-¹ tan² tangent triangle ABC Trigonometry unity VIRTUE BROTHERS W. D. Hamilton

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