# If 0 < x < π, and cos x + sin x = 1/2, then tan x is?

##
A: (4 - #root# 7) / 3

B: -(4 + #root# 7) / 3

C: (1 + #root# 7) / 4

D: (1 - #root# 7) / 4

A: (4 -

B: -(4 +

C: (1 +

D: (1 -

##### 1 Answer

Aug 2, 2017

#### Explanation:

cos x + sin x = 1/2

Divide both sides by cos x

Square both sides

After simplification:

Solve this quadratic equation for tan x

There are 2 real roots: