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Question

sec2[cot1(12)]+cosec2[tan1(13)]=


A

10

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B

15

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C

20

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D

25

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Solution

The correct option is B

15


sec2[cot1(12)]+cosec2(tan1(13))
=1+tan2(cot1(12))+cot2(tan1(13))
=1+[tan(tan12)]2+1+[cot(cot13)]2
=2+22+32
=15


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