Determine all the possible values of x where 0 degree <= x <= 360 degree such that

sec^2 x + sec x = 2

Printable View

- Apr 15th 2013, 05:38 PMchoi105Exact Values and Trigonometric Equations
Determine all the possible values of x where 0 degree <= x <= 360 degree such that

sec^2 x + sec x = 2 - Apr 15th 2013, 05:39 PMchiroRe: Exact Values and Trigonometric Equations
Hey choi105.

Can you show us what you have tried? - Apr 15th 2013, 05:53 PMchoi105Re: Exact Values and Trigonometric Equations
sec^2 x + sec x = 2

(sec x - 1)( sec x + 2) = 0

sec x - 1 = 0 or sec x + 2 = 0

sec x = 1 or sec x = -2

1/cos x = 1 or 1/cos x = -2

then i don't know how to continue... - Apr 15th 2013, 06:45 PMchiroRe: Exact Values and Trigonometric Equations
There are exact values for +-1/2 and +-1. (Hint Consider pi/2, pi/3 and 2pi/3)

- Apr 15th 2013, 07:05 PMProve ItRe: Exact Values and Trigonometric Equations