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How do you find the exact value of sin 2π/3?

1 Answer

Apr 17, 2018

sin at #(2pi)/3# = #sqrt3/2#

Explanation:

The exact value for sin#(2pi)/3# = #sqrt3/2#

For the unit circle sin#(2pi)/3# is in the 2nd quadrant making sine positive.

For the unit circle values on the #60^o# angles all have a value of #(1/2, sqrt3/2)# where #x=# cosine and #y=#sine

#(2pi)/3# = #120^o#

Making the sin#(2pi)/3# = #sqrt3/2#

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