Question Number 148767 by mim24 last updated on 31/Jul/21

Answered by liberty last updated on 31/Jul/21

(1/(sin 20°)) +((√3)/(cos 20°))=((cos 20°+(√3)sin 20°)/(sin 20°cos 20°)) =(((1/2)cos 20°+(((√3)sin 20°)/2))/((1/4)sin 40°)) =((sin 30°cos 20°+cos 30°sin 20°)/((1/4)sin 40°)) =((4sin 50°)/(cos 50°))=4tan 50° = 4cot 40°