Question

Identidades Trigonometricas porfavor ....a) senx(secx+cscx)=tanx+1b) secz*cotz*senz=1c) (tanx+cotx)senxcosx=1porfavooooor

Answer 1

a)

sen x ( sec x + cosec x ) = tan x + 1
sen x ( 1/cos x + 1/sen x ) = tanx + 1
sen x(sen x + cos x)/sen x.cos x =tan x + 1
( sen x + cos x ) /cos x = tan x + 1
sen x/cos x + cos x/cos x = tan x + 1
tan x + 1 = tan x + 1

b)

sec z . cot z . sen z = 1
( 1/cos z ) . ( cos z/sen z ) sen z = 1
1 = 1

c)

( tan x + cot x ) . sen x . cos x = 1
( sen x/cos x + cos x/sen x ) sen x . cos x = 1
(( sen^2 x + cos^2 x )/sen x. cos x ) . sen x . cos x = 1
1 = 1