jika sin x + cos x = 1/2 tentukan nilai dari tangen x + cotangen x

sin(x)+cos(x)=1/2
[sin(x)+cos(x)]^2=(1/2)^2
sin^2(x)+cos^2(x)+2sin(x)cos(x)=1/4
1+2sin(x)cos(x)=1/4
sin(x)cos(x)=-3/8

tan(x)+cot(x)
=sin(x)/cos(x) + cos(x)/sin(x)
=[sin(x)sin(x)+cos(x)cos(x)] / [sin(x)cos(x)]
=1/(sin(x)cos(x))
=1/(-3/8)
=-8/3