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  1. If 0 ≤ θ ≤ (π / 2) and sec²θ + tan²θ =7, then θ is
    1. radian
      12
    2. π
      radian
      3
    3. π
      radian
      5
    4. π
      radian
      6
Correct Option: B

Using Rule 1,
sec²θ + tan²θ = 7
⇒ 1 + tan²θ + tan²θ = 7
⇒ 2 tan²θ = 7 – 1 = 6
⇒ tan²θ = 3
⇒ tan θ = √3
= tan 60°
⇒ θ = 60°
∵ 180° = π radian

∴ 60° =
π
× 60 =
π
1803



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