If sin theta - cos theta = 1/2, then find the value of 1/cos theta + cos theta

Answer 1

There are 4 angles that satisfy sinx - cosx = .5

They are 65.7, -294.3, -155.7, & 204.3 degrees

substituting the first 2 into 1/cosx + cosx, you get 2.84

substituting the second 2 into 1/cosx + cosx you get -2.01.