Question

Find all solutions in the interval 0, 2pi

sec x + tan x = 1

Answer 1

let u=sec(x)
write tan(x) in terms of u
to do this you can draw a right triangle using u=sec(x)
then write your equation as an algebraic equation and solve for u
and then go back and replace u with sec(x)
and solve for x

Answer 2

find the opposite side of the angle labeled x using pythagorean theorem

Answer 3

so basically it's 1^2 + b^2 = u^2?

Answer 4

\[b=\pm \sqrt{u^2-1^2} \text{ or } \pm \sqrt{u^2-1}\]
since 1^2 is 1...