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" Arc, on the Sine and Cosine of an Arc in terms of the Arc itself, and a new Theorem for the Elliptic Quadrant. "
Key to System of practical mathematics. 2 pt. No.xvii - Σελίδα 139
των Scottish school-book assoc - 1845
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...sin«> by expanding cos.(te sin u), sin.(tesinu) into a series according to the formula expressing the sine and cosine of an arc in terms of the arc, we will obtain the expression for cos (tu — te sinu) given in the text. (h) By substituting for r...

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.....~*' When 6 is negative, the signs of these roots are to be changed. 225. To find series' expressing the sine and cosine of an arc in terms of the arc itself, divide both members of (229) and (230) by cos- A, and the terms in the second members, exclusive of...

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...sine and cosine in a series. From equations (5) and (6), Euler has deduced the series which expresses the sine and cosine of an arc in terms of the arc itself. Retaining the supposition that n is a whole number, we can dispose of ф in such a manner that пф...




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