Question

Se tgx= -3, então tg4x é igual a:

Answer 1

tg2x = 2.tgx/1-tg²x= -6/1-9= -6/-8= 3/4

tg4x = 2.tg2x / 1 -tg²2x

tg4x = 3/2 / 1 -9/16

tg4x = 3/2 / 7/16

tg4x = 3/2 •16/7= 48/14 = 24/7 ✓