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Question

The value of the expression sin1(sin22π7)+cos1(cos5π3)+tan1(tan5π7)+sin1(cos2) is

A
17π422
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B
2
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C
π212
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D
noneofthese
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Solution

The correct option is A 17π422
sin1(sin(3π+π7))+cos1(cos(2ππ3))+tan1(tan(π2π7))+π22

=π7+π32π7+π22

=5π63π72

=17π422

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