203k views
3 votes
Find the reference angle for t = 4/3.

a) π/3
b) π/6
c) 2π/3
d) 5π/6

User Giogre
by
8.3k points

1 Answer

1 vote

Final answer:

The reference angle for t = 4/3 is (3π - 4)/3 radians.

Step-by-step explanation:

To find the reference angle for t = 4/3, we need to determine the angle between the terminal side of t and the x-axis.

Since t = 4/3 is positive and lies in the second quadrant, the reference angle is the angle formed between the positive x-axis and the terminal side of t.

To find the reference angle, we subtract t from π radians (180 degrees).

π - t = π - 4/3 = 3π/3 - 4/3 = (3π - 4)/3

The reference angle for t = 4/3 is (3π - 4)/3 radians.

User Kevin Parker
by
8.2k points