| 11. | Periodic zero and one sequences can be expressed as sums of trigonometric functions:
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| 12. | That fact is relied on in other proofs of derivatives of trigonometric functions.
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| 13. | Historically, the versed sine was considered one of the most important trigonometric functions.
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| 14. | Analogous formulas for the other functions can be found at inverse trigonometric functions.
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| 15. | This could be achieved by expansion of functions in series of trigonometric functions.
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| 16. | And thus, the origin of the trigonometric function named sine.
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| 17. | In Kresa's era the Trigonometric functions were derived using geometry.
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| 18. | In this approximation, trigonometric functions can be expressed as linear functions of the angles.
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| 19. | Trigonometric functions of angles that are transcendental trigonometric constants, however.
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| 20. | The theorem extends to the other trigonometric functions as well.
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