Como você avalia #tan ((3pi) / 2) #?
Responda:
#color(indigo)(tan ((3pi)/2) = oo#
Explicação:
#tan ((3pi)/2)^c = tan 270^@#
#270^@ " falls in III Quadrant where tan and cot are positive"#
#tan 270 = tan (180 + 90) = tan 90 = oo#
#color(indigo)(tan ((3pi)/2) = oo#
#tan ((3pi)/2)^c = tan 270^@#
#270^@ " falls in III Quadrant where tan and cot are positive"#
#tan 270 = tan (180 + 90) = tan 90 = oo#