Question

Find all solutions in the interval [0, 2π).

tan x + sec x = 1

Answer 1

x = 0

x =

No solution

x =

Answer 2

@dan815

Answer 3

sec(x) + tan(x) = 1

1/cos(x) + sin(x)/cos(x) = 1

(1 + sin(x)) / cos(x) = 1

1 + sin(x) = cos(x)

1 = cos(x) - sin(x)


x = 0 radians, 2π, 4π ... 2nπ radians
But since your interval only allows for the answer 0, then that's your only solution.

Answer 4

wait is it 0
π/4
5π/4
or
no solution

Answer 5

They share commonalities at 0 radians, so there you go!