Answer:
1/√3
Step-by-step explanation:
Given the expression tan (-150), from trigonometry identity, tan(-θ) = -tanθ
Hence tan (-150) = - tan 150
First is to find the value of tan 150.
tan 150 = tan (180-30)
tan (A+B) = (tan180 - tan30)/1+tan180tan30
tan (180-30) = (0 - 1/√3)/1+0(1/√3)
tan (180-30) = -1/√3/1
tan (180-30) = -1/√3
Since tan 150 = -1/√3
-tan 150 = -(- 1/√3)
-tan 150 = 1/√3
Since -tan 150 = tan (-150) = 1/√3
Hence the exact value of tan (-150) is 1/√3
