Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Resultat 1-5 av 11
Side 366
... cosh 0 and sinh 0 . Thus cos and sin are obtained from cosh 0 and sinh respectively by changing the signs of the alternate coefficients of the several powers of 0 . Or cos and sin 0 Ө are obtained from cosh 0 and respectively by ...
... cosh 0 and sinh 0 . Thus cos and sin are obtained from cosh 0 and sinh respectively by changing the signs of the alternate coefficients of the several powers of 0 . Or cos and sin 0 Ө are obtained from cosh 0 and respectively by ...
Side 368
... cosh x - sinh2 x = 1 . This latter result is , of course , obvious from the exponential equivalents of cosh x and sinh x . Geometrical Illustrations . 511. The student of Conic Sections should observe the following points ; where we ...
... cosh x - sinh2 x = 1 . This latter result is , of course , obvious from the exponential equivalents of cosh x and sinh x . Geometrical Illustrations . 511. The student of Conic Sections should observe the following points ; where we ...
Side 376
... cosh — cos + = 2n − 1 pλ = ‡ ( n − 2 ) - λ = 0 Here put = 0. Thus 2λπ n ㄓ n sin2 n { sin3 ( 2 2λπ # 2 ) 0 + sinh2 n 1 − cos & = 2n − 1 p ^ = 1 ( n − 2 ) sin2 λ = 0 2λπ φι n n Divide each of the above two equations by this last ...
... cosh — cos + = 2n − 1 pλ = ‡ ( n − 2 ) - λ = 0 Here put = 0. Thus 2λπ n ㄓ n sin2 n { sin3 ( 2 2λπ # 2 ) 0 + sinh2 n 1 − cos & = 2n − 1 p ^ = 1 ( n − 2 ) sin2 λ = 0 2λπ φι n n Divide each of the above two equations by this last ...
Side 389
... cosh x - 1 cosh x- COS X 22 . 23 . 1- cos x sinh 24 . 0-5 ( sin 0 + sinh 0 – 20 ) . 25 . 0-6 ( cosh - cos 0 + 02 ) . m sin x sin mx - sin2 nx - sin2 mx 26 . 27 . x ( cosx - cosmx ) 1 . cos px 2 sin 3x3 sin 2x sin 2x + 2 sin2 x - 2 sin x ...
... cosh x - 1 cosh x- COS X 22 . 23 . 1- cos x sinh 24 . 0-5 ( sin 0 + sinh 0 – 20 ) . 25 . 0-6 ( cosh - cos 0 + 02 ) . m sin x sin mx - sin2 nx - sin2 mx 26 . 27 . x ( cosx - cosmx ) 1 . cos px 2 sin 3x3 sin 2x sin 2x + 2 sin2 x - 2 sin x ...
Side 391
... cosh 28- cosh 38+ . 1 12 3 53 . sinh a - sinh 2a + sinh 3a - 54 . p ( p - q ) 55 . 1 + cos a sinh B + 12.q cos e cosh + cos2 0 cosh 20+ cos3 0 cosh 34 + Ρ 9 cos a sinh 28 _ P ( −1 ) ( 2−24 ) cos * a sinh 3B + ... + 3.93 Prove the ...
... cosh 28- cosh 38+ . 1 12 3 53 . sinh a - sinh 2a + sinh 3a - 54 . p ( p - q ) 55 . 1 + cos a sinh B + 12.q cos e cosh + cos2 0 cosh 20+ cos3 0 cosh 34 + Ρ 9 cos a sinh 28 _ P ( −1 ) ( 2−24 ) cos * a sinh 3B + ... + 3.93 Prove the ...
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acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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