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  1. If 29 tan θ = 31, then the value of
    1 + 2sin θ cos θ
    is equal to
    1 - 2sin θ cos θ
    1. 810
    2. 900
    3. 540
    4. 490
Correct Option: B

29 tanθ = 31 ⇒ tanθ =
31
29

Expression =
1 + 2sinθ .cosθ
1 - 2sinθ .cosθ

=
sin²θ + cos²θ + 2sin θ . cos θ
sin²θ - cos²θ + 2sin θ . cos θ

=
(sinθ + cosθ)²
(sinθ - cosθ)²


=60² = (30)² = 900.
2



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