Question

find all solutions of sec^2 x + tan^2 x= 3 in the interval [0,2pi)

Answer 1

sec^2 x -1 = tan^2 x

Answer 2

sec^2x+tan^2x=3
(1+tan^2x)+tan^2x=3
2tan^2x=3-1
tan^2x=1
tan(x)=+/- 1
Can you take it from here?

Answer 3

nope its tanx=1 or -1

Answer 4

Yea, I deleted it. Haha. Sorry, my mistake.

Answer 5

Sorry that it wasn't clear,
tan(x)=+/- 1 was meant to be:\[\tan(x) = \pm 1\]

Answer 6

45, 135, 225, & 315 degrees, or
pi/4, 3pi/4, 5pi/4, & 7pi/4 radians.

This is the answer and continuation to mathmates' solution.

Answer 7

Thank you!