`sec(x) + tan(x) = 1` Find all the solutions of the equation in the interval `0,2pi)`.

Textbook Question

Chapter 5, 5.3 - Problem 38 - Precalculus (3rd Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

gsarora17's profile pic

gsarora17 | (Level 2) Associate Educator

Posted on













General solutions for cos(pi/4+x)=1/ are,

`pi/4+x=pi/4+2pin , (7pi)/4+2pin`

solving above,

`x=2pin , x=(6pi)/4+2pin`

solutions in the range `0<=x<=2pi`  are,

`x=0 ,2pi , (3pi)/2`

since the equation is undefined for x=3pi/2,

Therefore solutions are x=0 and 2pi

We’ve answered 319,632 questions. We can answer yours, too.

Ask a question