Answer:
B. -11/8
Step-by-step explanation:
Given:
tan m = ½
tan n = -6
Required:
Exact value of tan(m + n)
Solution:
Find m and n:
[tex] tan (m) = \frac{1}{2} [/tex]
[tex] tan (m) = 0.5 [/tex]
[tex] m = tan^{-1}(0.5) [/tex]
m = 26° (approximated)
[tex] tan (n) = -6 [/tex]
[tex] n = tan^{-1}(-6) [/tex]
n = -80° = 280° (i.e. 360 - 80)
Exact value of tan(m + n) = tan(26 + 280)
tan(306)
tan(307) = -1.37638192 ≈ -11/8
