Question

1. (FATEC) Calcule tg x sabendo-se que 6 sen²x = 3 - 2 cos²x e que 0<x<π\2​

Answer 1

6sen²x = 3 -2cos²x

6sen²x = 3 -2(1-sen²x)

6sen²x = 3 - 2+2sen²x

6sen²x -2sen²x = 3 -2

4sen²x = 1

sen²x = 1/4

senx = √1/4 = 1/2 ==> x=30°

tgx = tg30° = √3/3 ✓