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: