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Question

Find the value of cos-1 (cos 2pi / 3 ) + sin-1 ( sin 2pi/3 )

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Solution

cos-1cos2π3+sin-1sin2π3=cos-1-12+sin-132

=π-cos-112+sin-132=π-cos-1cosπ3+sin-1sin2π3

=π-π3+2π3 =4π3

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