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  1. If tan θ =
    1
    and 0 , < θ <
    π
    , then the value of
    cosec² θ - sec² θ
    is
    112cosec² θ + sec² θ
    1. 3
      4
    2. 4
      5
    3. 5
      6
    4. 6
      7

Correct Option: C

tan θ =
1
; cotθ = √11
11

cosec²θ - sec²θ
cosec²θ + sec²θ

=
1 + cot²θ - (1 - tan²θ)
1 + cot²θ + 1 + tan²θ

=
cot²θ - tan²θ
cot²θ + tan²θ + 2


=
120
=
5
1446



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