ow do you find the exact value of arccos(sin(pi/3))

iarc6io 2022-07-19 Answered
How do you find the exact value of arccos ( sin ( π 3 ) )?
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Answers (2)

eishale2n
Answered 2022-07-20 Author has 15 answers
knowing that sin ( π 3 ) = 3 2
arccos ( sin ( π 3 ) ) = arccos ( 3 2 )
we know that cos ( π 6 ) = 3 2
so, π 6 = arccos ( 3 2 )
arccos ( sin ( π 3 ) ) = arccos ( 3 2 ) = π 6
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valtricotinevh
Answered 2022-07-21 Author has 3 answers
By definition, cos ( 1 2 π θ ) = sin θ f o r a l l θ
arccos ( sin ( 1 3 π ) ) = arccos ( cos ( 1 2 π 1 3 π ) ) = arccos ( cos ( 1 6 π ) )
= 1 6 π
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