Question

cot theta sec theta
simplify

Answer 1

I'm going to assume that theta = x because it is easier to type in.

Cot(x) (Sec (x))
Cos(x) (1)
__________
(Sin(x))(Cos(x))

1/(Sin(x))

Sec(x)

Basically, Cot = the inverse of Tan which is Sin over Cos
And Sec is the inverse of Sin
Place those all out and you get two things that cancel out.

Answer 2

(cos theta/sin theta)*sec theta
costheta/sin theta cos theta
sin theta

Answer 3

@ malical sec is reciprocal of cos not sin!