ayuda nesesito resolver las siguientes ecuaciones donde la incognita es un angulo agudo:
a.2cos ala 2 + 4 sen ala 2 x = 3
b.(tg x - 1)(tg x + 3 ) = 2tg x
c.4 sen ala 3 x - 2sen ala 2 x - 2sen x + 1 = 0
d.2cos x + 2 raiz 2 = 3 sec x
e.tg x - cot x = cos ecx
f. 6tg x - 5 raiz 3 sec x + 12 cot x = 0
a. 2cos ala 2 + 4 sen ala 2 x = 3
2cos^2 x + 4 sen^2 x = 3
2cos^2 x + 4(1-cos^2 x ) =3
4 - 2cos^2 x =3
1 = 2cos^2 x
1/2 = cos^2 x
raiz ccuadrada de 1/2 = cosx
b. (tg x - 1)(tg x + 3 ) = 2tgx
tg^2x + 2tax - 3 = 2tgx
tg^2x = 3
tgx = raiz cuadrada de 3
c. 4 sen^3 x - 2sen^2 x - 2sen x + 1 = 0
2sen^2 x(2senx - 1) - (2sen x - 1) =0
(2senx - 1) ( 2sen^2 x - 1 ) = 0
(2senx - 1) = 0
senx = 1/2 y 2sen^2 x - 1 = 0
senx= raiz cuadrada de 1/2
d. 2cos x + 2 raiz 2 = 3 sec x
2 raiz de 2 = 3 sec x - 2cos x
2 raiz de 2 = 3 (1/cosx) - 2cos x
(2 raiz de 2)cosx = 3 - cos^2 x