Computation And Mensuration

Cover Computation And Mensuration
Computation And Mensuration
P a Preston Albert Lambert
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The circular measure of 20° is (9 = |= . 84907.
Hence 6 = . 84907, fT^Ts ^ -00707, -^ ^ 3 ^ ^ ^. 00004.
It follows that sine 20° = . 3420.
The error committed by omitting the terms of the in- finite series after the third may be written ^"^^1. 2. 3. 4. 5. 6. 71 U • 9 8 . 9 . 10 . 11 .. :].
USE OF TRIGONOMETRIC FUNCTIONS 37 8 -9 •10. 11. 12. 13 j J According to (5) the error is negative, and according to (a) the numerical value of the error is less than z — 7, — 7i — 4 — H — B — n' Hence the err
...or committed by omit- ting the terms of the infinite series after the third in com- puting sine 20° is negative and numerically less than . 0000002.
When sine 6 has been computed, the remaining func- tions of 6 may be computed by means of the fundamental relations, sin2 ^ + cos2 (9 = 1, tan l9 = ^^^, cot

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