A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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Σελίδα 24
... angle , ( cos nx + i sin nx ) is a value of ( cos x + i sin x ) ” . For x ... angle be a radian . Then since and consequently - cos 0 + i sin 0 = ko , - cos - i ... right - hand side is log.k. or , Hence i = log.k , k = ev 24 TRIGONOMETRY .
... angle , ( cos nx + i sin nx ) is a value of ( cos x + i sin x ) ” . For x ... angle be a radian . Then since and consequently - cos 0 + i sin 0 = ko , - cos - i ... right - hand side is log.k. or , Hence i = log.k , k = ev 24 TRIGONOMETRY .
Σελίδα 31
... right angle QOQ , or within the right angle Q , OQ , in the figure ] . 3 32. When a lies between – and 1Ã , the value of n is 0 . For n is an integer ( or zero ) , while the value of π is known to be greater than 3 [ E. 37 ] , and as a ...
... right angle QOQ , or within the right angle Q , OQ , in the figure ] . 3 32. When a lies between – and 1Ã , the value of n is 0 . For n is an integer ( or zero ) , while the value of π is known to be greater than 3 [ E. 37 ] , and as a ...
Σελίδα 36
... right angles be taken as the unit of angle , the exponential values of cos x and sin x are ( e3 TM * + eix , and ( ex - e - ixx ) , io • - · ( 5 ) Assuming that e2 † ira - 1 where r is an integer , prove that = is a periodic function of ...
... right angles be taken as the unit of angle , the exponential values of cos x and sin x are ( e3 TM * + eix , and ( ex - e - ixx ) , io • - · ( 5 ) Assuming that e2 † ira - 1 where r is an integer , prove that = is a periodic function of ...
Σελίδα 95
... right angle the differences in PN , as the angle approaches a right angle , are small when com- pared with the differences in the arc RP . Hence it is said that the differences in sin ◊ when is nearly are in- sensible . The ...
... right angle the differences in PN , as the angle approaches a right angle , are small when com- pared with the differences in the arc RP . Hence it is said that the differences in sin ◊ when is nearly are in- sensible . The ...
Σελίδα 97
... angles are very small , and they are irregular but large when the angle approaches a right angle , and that with these exceptions the Rule of Proportional Differences is true . 99. The case of the cosecant . The cosecant of an angle is ...
... angles are very small , and they are irregular but large when the angle approaches a right angle , and that with these exceptions the Rule of Proportional Differences is true . 99. The case of the cosecant . The cosecant of an angle is ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+ẞ Algebra angular points arithmetical ascending powers calculated Cambridge centre circular measure circumscribing circle Classical Series coefficients cos² cos³ cosec cosh nx cosine Crown 8vo deduce different values distance Edited by Rev equal escribed circles Eton College EXAMPLES Expand expression Extra fcap fcap Fellow of St Find form A+iB formula GRAMMAR greater Hence inscribed inscribed circle integer Introductions and Notes J. P. MAHAFFY John's College King's College late Fellow less limit LIVY logarithms MACMILLAN'S CLASSICAL CATALOGUE Moivre's Theorem nine-points circle nth roots obtain Oxford P₁ perpendiculars positive integer Prove the following quadratic factors radii radius right angle roots School sec² Shew sides sin n sin² sin³ sine sinh Sum the series Tables tan-¹ tan² tangent triangle ABC Trigonometry Trinity College Vocabulary whole number
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