Trigonometry formula
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Formule for 10th Class
Ekādhikena Pūrvena,
Ekādhikena Pūrvena , ("By one more than the previous one") This sūtra means that the prescribed arithmetical operation is either multiplication or division. Both are implied since we may proceed leftward and multiply (and carry-over the excess value to the next leftward column) or we may go rightward and divide (while prefixing the remainder). When dividing by a nine's family denominator, the digit to the left of the nine (previous) is increased by one to obtain the multiplier. .Examples: 35×35 = ((3×3)+3),25 = 12,25 and 125×125 = ((12×12)+12),25 = 156,25 or by the sūtra, multiply "by one more than the previous one." 35×35 = ((3×4),25 = 12,25 and 125×125 = ((12×13),25 = 156,25 The latter portion is multiplied by itself (5 by 5) and the previous portion is square of first digit or first two digit (3×3) or (12×12) and adding the same digit in that figure (3or12) resulting in the answer 1225. (Proof) This is a simple application of when and ...