Find all solutions of the equation in the interval [0,2pi] . Write your answer in radians in terms of pi.(If there is more than one solution, separate them with commas.) sec theta+ root 2= 0

Answer 1

secT = -sqr(2) = hypotenuse/adjacent side = -2/sq2= -sqr2

secants are negative only in quadrants II and III

T = sec^-1(-sqr2) = 45 degrees or pi/4 radians is the reference angle

T = 180+/- 45 = 225 or 135 degrees or pi-/- pi/4 = 5pi/4 or 3pi/4 radians