What is sin 2pi/3? How do you solve without a calculator?

Question

Damari Carrillo

Mathematics

17 September, 00:01

What is sin 2pi/3? How do you solve without a calculator?

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Answers (2)

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Alena Calhoun · Answer 1

To solve the expression sin 2pi/3, we can convert first 2pi/3 into degrees. pi is equal to 180, hence 2pi/3 is equal to 120 degrees. 120 degrees is located in the second quadrant in which the terminal angle equivalent is 60 degrees. Using special triangle 30-60-90, sin 120 is equal to sqrt 3 over 2.

Eliezer Mcfarland · Answer 2

Hello,

sin 120°=-sin 60°=-√3 / 2 = - 0,8660 ...