Question

sendo 4×sen x= 3×cos x. calcule o valor de tgx​

Answer 1

(3 cos X /4) ² + (cos X )² = 1

9 cos x² /16 + cos X² = 1

25 cos x² /16 = 1

25 cos x² = 16

cos x² = 16/25

cos x =4/5

4 sen x = 3 cos x

4 sen x = 3 (4/5)

4 sen x = 12 / 5

20 sen x = 12

sen x =12/20

tg x = 12/20 / 4/5

tg x = 12/20 •5/4

tg x = 60/80

tg x = 6/8

tg x = 3/4