## Elements of Plane Trigonometry |

### From inside the book

Results 6-10 of 14

Page 26

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**AP AP AP AP**= = FE AF FG FP AF AP FP AP sin A cos B- -cos A sin B , AD AE ÷ ED AE PG cos ( A - B ) =**AP AP AP AP**AE AF PG PF = + AF AP ' PF AP = cos A cos B + sin A sin B. 8. Now , since sin ( A + B ) = sin A cos B + cos A sin B , if we ... Page 55

... to 90 ° . Equation ( 6 ) may be used in all cases where A approaches near to 90 ° . Equation ( c ) may also be used in all cases where A

... to 90 ° . Equation ( 6 ) may be used in all cases where A approaches near to 90 ° . Equation ( c ) may also be used in all cases where A

**ap**- proaches near to 90 ° . Equation ( d ) may be used in all cases TRIGONOMETRY . 55. Page 67

... = a + b + c = a1 + - + { b C sin B sin C = a 1 + + a a ) sin A sin A sin A + sin B + sin C = a sin

... = a + b + c = a1 + - + { b C sin B sin C = a 1 + + a a ) sin A sin A sin A + sin B + sin C = a sin

**A P**sin A ; = sin A + sin B + sin C 2P sin A cos Psin 4 4 cos 4 cos B cos C2 cos B cos C But 14 B , 4B = = C , P TRIGONOMETRY 67. Page 70

James Hann. √3 sin ACD 2 AD = p = sin

James Hann. √3 sin ACD 2 AD = p = sin

**A P**= p √3 ; 2 sin B : sin BCD :: p : DB , 1 sin BCD 2 DB = P sin B = P √3 2 Ρ 3p + p 4p = = √3 √3 √3 ' AD + DB = AB = p√3 + but area = 4 × P 2p2 = X = √3 √3 ' 2 ΧΡ 4p p ( 18 ) The angles of ... Page 71

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**AP**= ) - BP Y PC = $ Then APB = BPC = APC = 120 ° ; 1 .. the cosine of each = and the sine of each : √3 2 ' a2 = BP2PC22BP . PC cos 120 ° (一) = BP2 + PC2 — 2BP . PC ( -1 ) b2 c2 c2 : . - BP2 + PC + BP . PC , AP2 + PC +**AP**. PC , AP2 + ...### 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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