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Question

Find the value of cos1(cos2π3)+sin1(sin2π3).

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Solution

Given, cos1(cos2π3)+sin1(sin2π3)

=cos1(cos(ππ3))+sin1(sin(ππ3))

=cos1(cos(π3))+sin1(sinπ3)

=cos1(12)+sin1(32)

=ππ3+π3

=π

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