¿Demuestra las siguientes identidades trigonometricas?
a. secA - cosA = senA tanA
b.sec ^2A + csc^2A = sec^2A csc^2A
c. cosA + senA tanA = secA
d. cscA - cosA cotA = senA
More Questions From This User See All
Answers & Comments
Verified answer
aki estan los 4 resueltos ojala te sirva
http://i33.tinypic.com/n39bbk.jpg
http://i34.tinypic.com/67ts76.jpg
a) secA - cosA = senA.tanA
= 1/cosA - cosA
= (1 - cos^2A)/cosA
= sen^2A/cosA
= (senA)(senA/cosA)
= senA.tanA
b) sec^2A + csc^2A = sec^2Acsc^2A
= 1/(cos^2A) + 1/(sen^2A)
= (sen^2A + cos^2A)/cos^2A.sen^2A
= 1/cos^2A.sen^2A
= (1/cos^2A)(1/sen^2A)
= sec^2A.csc^2A
c) cosA + senA.tanA = secA
= cosA +senA(senA/cosA)
= (cos^2A + sen^2A)/cosA
= 1/cosA
= secA
d) cscA - cosA.cotA = senA
= 1/senA - cosA(cosA/senA)
= 1/senA - cos^2A/senA
= (1 - cos^2A)/senA
= sen^2A/senA
= senA
Es todo, ojalá lo entiendas, adiós.