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Teachers are advised to ensure learners have covered all of the question content before using such questions. Test yourself on the exact values of the six trigonometric functions at the "nice" angles. Forms of recitation included the jaṭā-pāṭha (literally "mesh recitation") in which every two adjacent words in the text were first recited in their original order, then repeated in the reverse order, and finally repeated again in the original order. [39] The recitation thus proceeded as: In another form of recitation, dhvaja-pāṭha [39] (literally "flag recitation") a sequence of N words were recited (and memorised) by pairing the first two and last two words and then proceeding as: word1word2, wordN − 1wordN; word2word3, wordN − 3wordN − 2; ..; wordN − 1wordN, word1word2; The most complex form of recitation, ghana-pāṭha (literally "dense recitation"), according to ( Filliozat 2004, p. 139), took the form: That these methods have been effective, is testified to by the preservation of the most ancient Indian religious text, the Ṛgveda ( ca. 1500 BCE), as a single text, without any variant readings. [39] Similar methods were used for memorising mathematical texts, whose transmission remained exclusively oral until the end of the Vedic period (ca. 500 BCE).

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Publisher: Brooks/Cole (October 28, 1992)


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With proper exercise his whole body is more capable; that is enough ����� This argument is not, by the way, the "transfer of training" thesis popular a hundred years ago, saying that strengthening the mind with thought to carry over in this sense, but later psychologists made experiments to show this was not so, and that discipline in algebra did not, for example, strengthen the power to memorize phone numbers. � Actually, that question is still not entirely settled, but it is not grounds that it helps you argue cases in court if you become a lawyer. (Actually, I myself believe it does.� I have a daughter who is a lawyer, and who studied calculus in college, and she is not sorry she did.) ����� So "transfer of training" is questionable, and measuring flagpoles and engineers remain unanswered.� If there is an answer, it cannot be ��� The true answer is that trigonometry is part of our culture, and poor that while we can speak of Communism, or the national debt, no things are within our power, and would increase our ability to describe ��� ��Part of it is practical, to be sure, but it is a disastrous mistake to present this part as if the only, or most important value.� How can we by counting his score that day on the golf course, the intellectual it will usually fail.� In the past, with most people, it has failed. because he has more to hang it from, as it were.� After World War II, for example, the returning veterans came to college three years older, on average, than the usual college students, and their work showed it.� There was never a generation of students like that one.� Alas, to delay education until it is that late entails a great loss of time, and we must find ��� I would like to illustrate with a story about my father, who came here from Poland as a young man, never having had any mathematical or mathematician, but did not understand what that was, except dimly Trigonometry (Teach Yourself) Trigonometry (Teach Yourself). And so under that substitution, I've decided that the square root of a^2 - y^2 is a cos(theta). So dy, just differentiating this expression, is a cos(theta) d theta. So let's put that in. dy = a cos(theta) d theta. Making that trig substitution, y = a sin(theta), has replaced this integral that has a square root in it. With an integral that involves no square roots and only trig functions By Raymond A. Barnett - Analytical Trigonometry with Applications: 5th (fifth) Edition online.

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