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Indentidades pitagóricas

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Jesé Salazar Rios

This document lists several trigonometric identities involving addition, subtraction, multiplication, division, reciprocals, and auxiliary identities. The identities relate trigonometric functions such as sine, cosine, tangent, cotangent, secant and cosecant in various combinations through basic trigonometric relationships and operations.

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INDENTIDADES PITAGÓRICAS IDENTIDADES POR COCIENTE IDENTIDADES RECÍPROCAS 1. 푺풆풏ퟐ휽 + 푪풐풔ퟐ휽 = ퟏ 푺풆풏ퟐ휽 = ퟏ − 푪풐풔ퟐ휽 푪풐풔ퟐ휽 = ퟏ − 푺풆풏ퟐ휽 4. 푻품휽 = 푺풆풏휽 푪풐풔휽 푪풐풔휽 = 푺풆풏휽 푻품휽 푻품휽 . 푪풐풔 휽 = 푺풆풏휽 6. 푺풆풏휽 . 푪풔풄휽 = ퟏ 푺풆풏휽 = ퟏ 푪풔풄휽 푪풔풄휽 = ퟏ 푺풆풏휽 2. 푻품ퟐ휽 + ퟏ = 푺풆풄ퟐ휽 푻품ퟐ휽 = 푺풆풄ퟐ휽 − ퟏ ퟏ = 푺풆풄ퟐ휽 − 푻품ퟐ휽 5. 푪풕품휽 = 푪풐풔휽 푺풆풏휽 푺풆풏휽 = 푪풐풔휽 푪풕품휽 푪풕품휽. 푺풆풏휽 = 푪풐풔 휽 7. 푪풐풔휽 . 푺풆풄휽 = ퟏ 푪풐풔휽 = ퟏ 푺풆풄휽 푺풆풄휽 = ퟏ 푪풐풔휽 3. 푪풕품ퟐ휽 + ퟏ = 푪풔풄ퟐ휽 푪풕품ퟐ휽 = 푪풔풄ퟐ휽 − ퟏ ퟏ = 푪풔풄ퟐ휽 − 푪풕품ퟐ휽 8. 푻품휽 . 푪풕품휽 = ퟏ 푻품휽 = ퟏ 푪풕품휽 푪풕품휽 = ퟏ 푻품휽 IDENTIDADES TRIGONOMÉTRICAS AUXILIARES ퟗ. 푺풆풏ퟒ풙 + 푪풐풔ퟒ풙 = ퟏ − ퟐ푺풆풏ퟐ풙. 푪풐풔ퟐ풙 ퟏퟎ. 푺풆풏ퟔ풙 + 푪풐풔ퟔ풙 = ퟏ − ퟑ푺풆풏ퟐ풙. 푪풐풔ퟐ풙 ퟏퟏ. 푺풆풄ퟒ풙 + 푻품ퟒ풙 = ퟏ + ퟐ 푺풆풄ퟐ풙. 푻품ퟐ풙 ퟏퟐ. 푪풔풆풄ퟒ풙 + 푪풕품ퟒ풙 = ퟏ + ퟐ 푪풔풆풄ퟐ풙. 푪풕품ퟐ풙 ퟏퟑ. 푻품풙 + 푪풕품풙 = 푺풆풄풙 . 푪풔풆풄풙 ퟏퟒ. 푺풆풄ퟐ풙 + 푪풔풆풄ퟐ풙 = 푺풆풄ퟐ풙. 푪풔풆풄ퟐ풙 ퟏퟓ. 푺풆풄ퟔ풙 − 푻품ퟔ풙 = ퟏ + ퟑ푺풆풄ퟐ풙. 푻품ퟐ풙 ퟏퟔ. 푪풔풆풄ퟔ풙 − 푪풕품ퟔ풙 = ퟏ + ퟑ푪풔풆풄ퟐ풙. 푪풕품ퟐ풙

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Indentidades pitagóricas

  • 1. INDENTIDADES PITAGÓRICAS IDENTIDADES POR COCIENTE IDENTIDADES RECÍPROCAS 1. 푺풆풏ퟐ휽 + 푪풐풔ퟐ휽 = ퟏ 푺풆풏ퟐ휽 = ퟏ − 푪풐풔ퟐ휽 푪풐풔ퟐ휽 = ퟏ − 푺풆풏ퟐ휽 4. 푻품휽 = 푺풆풏휽 푪풐풔휽 푪풐풔휽 = 푺풆풏휽 푻품휽 푻품휽 . 푪풐풔 휽 = 푺풆풏휽 6. 푺풆풏휽 . 푪풔풄휽 = ퟏ 푺풆풏휽 = ퟏ 푪풔풄휽 푪풔풄휽 = ퟏ 푺풆풏휽 2. 푻품ퟐ휽 + ퟏ = 푺풆풄ퟐ휽 푻품ퟐ휽 = 푺풆풄ퟐ휽 − ퟏ ퟏ = 푺풆풄ퟐ휽 − 푻품ퟐ휽 5. 푪풕품휽 = 푪풐풔휽 푺풆풏휽 푺풆풏휽 = 푪풐풔휽 푪풕품휽 푪풕품휽. 푺풆풏휽 = 푪풐풔 휽 7. 푪풐풔휽 . 푺풆풄휽 = ퟏ 푪풐풔휽 = ퟏ 푺풆풄휽 푺풆풄휽 = ퟏ 푪풐풔휽 3. 푪풕품ퟐ휽 + ퟏ = 푪풔풄ퟐ휽 푪풕품ퟐ휽 = 푪풔풄ퟐ휽 − ퟏ ퟏ = 푪풔풄ퟐ휽 − 푪풕품ퟐ휽 8. 푻품휽 . 푪풕품휽 = ퟏ 푻품휽 = ퟏ 푪풕품휽 푪풕품휽 = ퟏ 푻품휽 IDENTIDADES TRIGONOMÉTRICAS AUXILIARES ퟗ. 푺풆풏ퟒ풙 + 푪풐풔ퟒ풙 = ퟏ − ퟐ푺풆풏ퟐ풙. 푪풐풔ퟐ풙 ퟏퟎ. 푺풆풏ퟔ풙 + 푪풐풔ퟔ풙 = ퟏ − ퟑ푺풆풏ퟐ풙. 푪풐풔ퟐ풙 ퟏퟏ. 푺풆풄ퟒ풙 + 푻품ퟒ풙 = ퟏ + ퟐ 푺풆풄ퟐ풙. 푻품ퟐ풙 ퟏퟐ. 푪풔풆풄ퟒ풙 + 푪풕품ퟒ풙 = ퟏ + ퟐ 푪풔풆풄ퟐ풙. 푪풕품ퟐ풙 ퟏퟑ. 푻품풙 + 푪풕품풙 = 푺풆풄풙 . 푪풔풆풄풙 ퟏퟒ. 푺풆풄ퟐ풙 + 푪풔풆풄ퟐ풙 = 푺풆풄ퟐ풙. 푪풔풆풄ퟐ풙 ퟏퟓ. 푺풆풄ퟔ풙 − 푻품ퟔ풙 = ퟏ + ퟑ푺풆풄ퟐ풙. 푻품ퟐ풙 ퟏퟔ. 푪풔풆풄ퟔ풙 − 푪풕품ퟔ풙 = ퟏ + ퟑ푪풔풆풄ퟐ풙. 푪풕품ퟐ풙