Q:

Compare the quantity in Column A with the quantity in Column B. Choose

Accepted Solution

A:
Answer:The quantity in column A is greater ⇒ first answerStep-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 valueEx : 5 > 3- If the two quantity are negative, the greatest is which has  the smallest absolute valueEx : -2 > -3 - If one of the negative and the other is positive, then the  positive is the greatest oneEx: 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