A Treatise on Higher TrigonometryMacmillan, 1884 - 208 σελίδες |
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... cosine is an innovation which seems fully justified by their im- portance in other subjects , and by the simplification effected by their use in the statement of many theorems and formulæ . I wish to thank the Master of Gonville and ...
... cosine is an innovation which seems fully justified by their im- portance in other subjects , and by the simplification effected by their use in the statement of many theorems and formulæ . I wish to thank the Master of Gonville and ...
Σελίδα 21
... cosines . ( 2 ) With the notation of Ex . 1 , prove that cos ( a1 + a2 + az ... n terms ) = c , - Cn - 282 + Cn - 484 - etc. ( 3 ) Write down the expansion of sin ( a + B + y + 8 + ) and of cos ( a + B + y + d + e ) . ( 4 ) Prove that ...
... cosines . ( 2 ) With the notation of Ex . 1 , prove that cos ( a1 + a2 + az ... n terms ) = c , - Cn - 282 + Cn - 484 - etc. ( 3 ) Write down the expansion of sin ( a + B + y + 8 + ) and of cos ( a + B + y + d + e ) . ( 4 ) Prove that ...
Σελίδα 23
... last term in the expansion of cos ne is n ( -1 ) sin " 0 . ( 6 ) When n is odd the last term in the expansion of cos ne is -1 ) n - 1 n cose . sin " -10 . EXPONENTIAL VALUES OF SINE AND COSINE . 21. By De RESULTS OF DE MOIVRE'S THEOREM .
... last term in the expansion of cos ne is n ( -1 ) sin " 0 . ( 6 ) When n is odd the last term in the expansion of cos ne is -1 ) n - 1 n cose . sin " -10 . EXPONENTIAL VALUES OF SINE AND COSINE . 21. By De RESULTS OF DE MOIVRE'S THEOREM .
Σελίδα 24
John Bascombe Lock. EXPONENTIAL VALUES OF SINE AND COSINE . 21. By De Moivre's Theorem , when n is any commen- surable number , and x any angle , ( cos nx + i sin nx ) is a value of ( cos x + i sin x ) ” . For x put the unit of angular ...
John Bascombe Lock. EXPONENTIAL VALUES OF SINE AND COSINE . 21. By De Moivre's Theorem , when n is any commen- surable number , and x any angle , ( cos nx + i sin nx ) is a value of ( cos x + i sin x ) ” . For x put the unit of angular ...
Σελίδα 25
... cosine and sine respectively , when the angle is expressed in circular measure . These results may be applied to prove any general formula in Elementary Trigonometry . EXAMPLE . Prove sin 2a 1+ cos 2a = tan a . 2i sin 2a e2ia - e - 2ia ...
... cosine and sine respectively , when the angle is expressed in circular measure . These results may be applied to prove any general formula in Elementary Trigonometry . EXAMPLE . Prove sin 2a 1+ cos 2a = tan a . 2i sin 2a e2ia - e - 2ia ...
Άλλες εκδόσεις - Προβολή όλων
TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
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