Find an exact value. sine of negative eleven pi divided by twelve.

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 336 People

Answered by maham237 @ 25/12/2020

Sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)

= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2

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