Question

solve cosx cot x over 1 - sinx = 3

Answer 1

cosx * cosx)/sinx /(1-sin x)=3
cos^2 x/{sinx(1-sinx)}=3
(1-sin^2 x)/{sinx(1-sinx)}=3
(1+sinx)(1-sinx)//{sinx(1-sinx)}=3
cancel (1-sinx)
(1+sinx)/sinx=3
divide by sinx
1/sinx=2
sinx=1/2
x=30 degrees