Question 1025159
Add 1 to both sides and use the identity *[tex \large tan^2 x + 1 = sec^2 x]


*[tex \large \sec^2 x = 2 - \sec x]


This is a quadratic in terms of sec x, which you can solve for. Remember that sec x = 1/cos x, and can only take on values whose absolute value is at least 1.