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Aptitude miscellaneous
If tan θ =
1
and 0 , < θ <
π
, then the value of
cosec² θ - sec² θ
is
√
11
2
cosec² θ + sec² θ
3
4
4
5
5
6
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
144
6
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