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sec^(2)(tan^(-1)2) + "cosec"^(2)(cot^(-1...

`sec^(2)(tan^(-1)2) + "cosec"^(2)(cot^(-1)3)` is equal to

A

1

B

5

C

10

D

15

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The value of tan^(2) (sec ^(-1) 2) + cot^(2) (cosec^(-1) 3) is equal to

    A
    5
    B
    11
    C
    13
    D
    15

  • tan^2(sec^(-1)2)+cot^2(cosec^(-1)3) is

    A
    11
    B
    13
    C
    15
    D
    none

  • The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(2)A)(sec^(2)A cosec^(2)A-1) is equal to

    A
    1
    B
    `-1`
    C
    0
    D
    2

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