Question

Can someone explain to me how I would go about doing this?

"Express sec(arctan(x)) without trigonometric functions."

I know that arctan = tan^-1, and is the inverse of tan. I know that secant= hypotenuse/adjacent, and that the secant =1/cos(x).

Answer 1

draw a diagram

Answer 2

Ooh . . . so would I draw, say, a triangle and label the appropriate sides?

Answer 3

yeah

Answer 4

Ok, so would something like this be on the right track?

Answer 5

ok what is sec(A) ?

Answer 6

sec(A)= √1 + x^2

Answer 7

Is that correct?

Answer 8

I'm really sorry, but I've got to go for a bit.

Answer 9

yes it's correct