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Q.

The values of tan2⁡sec−1⁡2+cot2⁡cosec−1⁡3, is

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a

5

b

10

c

11

d

15

answer is C.

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Detailed Solution

tan2⁡sec−1⁡2+cot2⁡cosec−1⁡3=sec2⁡sec−1⁡2−1+cosec2⁡cosec−1⁡3−1=sec⁡sec−1⁡22−1+cosec⁡cosec−1⁡32−1=22−1+32−1=11
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