Question

Sabendo que tg x=12/5 e (x pertence ao 3 quadrante), calcule as demais funções circulares de x.
Me ajudem

Answer 1

Cotg x = 1/(12/5) = 5/12 Tg x = sen x/cos x Sen x = tg x . cos x Sen^2 = tg^2x . cos^2x = 144/25 . cos^2x = 144/25 . 25/169 = √144/169 = 12/13 Sen x = -12/13 Sen^2x + cos^2x = 1:-) 144/25.cos^2x + cos^2x = 1 144 cos^2x + 25 cos^2x = 25 Cos x = √25/169 = 5/13 Cos x = -5/13 Sec x = 1/(-5/13) = -13/5 Cossec x = 1/(-12/13) = -13/12 Espero ter ajudado! =)