Answer:
[tex]\frac{-11}{8}[/tex]
Step-by-step explanation:
1) To find tan m = 1/2 on a calculator, you need to take the inverse to find m.
[tex]tan^{-1}[/tex](1/2) is about 26°.
So, m = 26°
2) To find tan n = -6 on a calculator, you also need to take the inverse.
[tex]tan^{-1}[/tex](-6) is -80, which is positive 280°. (360° - 80° = 280°)
n = 280°
3) SO, the exact value of tan(m + n) would be tan(26° + 280°), which is tan(306°).
tan(306°) is about -1.376.
The closest answer to -1.376 is the third answer choice, which is -11/8.
