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Question

MCQ:sin(sin15π6)+cos1(cos5π3)+tan1(tan7π3)

A
5π6
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B
π3
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C
7π6
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D
29π6
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Solution

The correct option is B 5π6
Given

sin1(sin(5π6))+cos1(cos(5π3))+tan1(tan(7π3))

sin1(sin(ππ6))+cos1(cos(2ππ3))+tan1(tan(2π+π3))

sin1(sin(π6))+cos1(cos(π3))+tan1(tan(π3))

(sin(πθ)=sinθ,cos(2πθ)=cosθ,tan(2π+θ)=tanθ)

π6+π3+π3

5π6


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