在0到2π范围内，与角-4π3终边相同的角是2π32π3．

Question

在0到2π范围内，与角-(4π)/(3)终边相同的角是

(2π)/(3)

(2π)/(3)

．

Answer 1

与角-(4π)/(3)终边相同的角的集合为{α|α=−(4π)/(3)+2kπ，k∈Z}，
取k=1，可得α=−(4π)/(3)+2π＝(2π)/(3)．
∴在0到2π范围内，与角-(4π)/(3)终边相同的角是(2π)/(3)．
故答案为：(2π)/(3)．