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Question

The value of sin1(sin3)+cos1(cos4)+tan1(tan6)+cot1(cot5) is equal to

A
10
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B
3
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C
4
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D
5
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Solution

The correct option is C 4
Let y=sin1(sin3)+cos1(cos4)+tan1(tan6)+cot1(cot5)
We know that
sin1(sinx)=πx ; π2<x<3π2
cos1(cosx)=2πx ; π<x<2π
tan1(tanx)=x2π ; 3π2<x<2π
cot1(cotx)=xπ ; π<x<2π
y=π3+2π4+62π+5π
y=4

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