Answer:
The quantity in column A is greater ⇒ first answer
Step-by-step explanation:
* lets talk about how to compare between two quantity
- If the two quantity are positive, the greatest is which has
the biggest value
Ex : 5 > 3
- If the two quantity are negative, the greatest is which has
the smallest absolute value
Ex : -2 > -3
- If one of the negative and the other is positive, then the
positive is the greatest one
Ex: 7 > -4
* In the problem we have in column A tan(30°) and in
column B tan(120°)
- Lets check the position of each angle in the quadrant system
∵ Angle 30 is acute angle
∴ It lies on the first quadrant
∴ The value of tan(30) is positive
∵ Angle 120 is obtuse angle
∴ It lies on the second quadrant
∴ The value of tan(120) is negative ⇒ According to ASTC rule
* ASTC rule
# All trigonometry functions are positive in the 1st quadrant
# The value of sin and csc only are positive in the 2nd quadrant
# The value of tan and cot only are positive in the 3st quadrant
# The value of cos and sec only are positive in the 4st quadrant
∵ tan(30) is positive and tan(120) is negative
∴ tan(30) > tan(120)
* The quantity in column A is greater
