A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 557
... cosec . A. 6. Let a , b , c be the three sides of a triangle ; put h = b + c and k = b — c ; then will the area of the triangle be = √ ( h2 — a2 ) ( a2 — k2 ) . 7. Let the three sides be a , √b , √c ; then prove that the area of the ...
... cosec . A. 6. Let a , b , c be the three sides of a triangle ; put h = b + c and k = b — c ; then will the area of the triangle be = √ ( h2 — a2 ) ( a2 — k2 ) . 7. Let the three sides be a , √b , √c ; then prove that the area of the ...
Page 562
... cosec . -- and .. cosec . ( 90 ° o - - b ) = sec . 10. The versed sine of the complement of any angle 502 ANALYTICAL PLANE TRIGONOMETRY .
... cosec . -- and .. cosec . ( 90 ° o - - b ) = sec . 10. The versed sine of the complement of any angle 502 ANALYTICAL PLANE TRIGONOMETRY .
Page 565
... cosec . = sec . ( 90 ° 1 - 8 ) = cos . ( 90 ° -- ) by last case 1 = sin . or , cosec . ◊ sin . 6 = 1 ... ( 6 ) Since CAT is a right - angled triangle and CT the hypotenuse , CA2 + AT2 = CT2 Dividing by CA2 , AT 2 CT i . c . 1+ 1 + tan ...
... cosec . = sec . ( 90 ° 1 - 8 ) = cos . ( 90 ° -- ) by last case 1 = sin . or , cosec . ◊ sin . 6 = 1 ... ( 6 ) Since CAT is a right - angled triangle and CT the hypotenuse , CA2 + AT2 = CT2 Dividing by CA2 , AT 2 CT i . c . 1+ 1 + tan ...
Page 566
... cosec . sin . = 1 7 . 1 + tan . 20 sec . 2 8 . 1 cot . 20 cosec . 2 9 . v . sin . = cos . 6 10 . coversin . = - 1 . sin . 8 . 11. The chord of an arc is the ratio of the straight line joining the two extre- mities of the arc to the ...
... cosec . sin . = 1 7 . 1 + tan . 20 sec . 2 8 . 1 cot . 20 cosec . 2 9 . v . sin . = cos . 6 10 . coversin . = - 1 . sin . 8 . 11. The chord of an arc is the ratio of the straight line joining the two extre- mities of the arc to the ...
Page 568
... cosec . = sin . in like manner , the sign of the cosecant is always the same with that of the sine . The versed sine is always positive , being reckoned from A always in the same direction . A It is sometimes convenient to give ...
... cosec . = sin . in like manner , the sign of the cosecant is always the same with that of the sine . The versed sine is always positive , being reckoned from A always in the same direction . A It is sometimes convenient to give ...
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Common terms and phrases
algebraic axis bisected called centre circle circumference coefficient contained Corol cosec cosine cube root curve decimal denominator denote diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM unknown quantity VULGAR FRACTIONS whole number yards