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  1. If sec (7θ + 28°) = cosec (30° – 3θ) then the value of θ is
    1. 60°
Correct Option: A

sec (7θ + 28°)
= cosec (30° – 3θ)
⇒ sec (7θ + 28°)
= sec (90° – (30° –3θ))
⇒ 7θ + 28° = 90° – 30° + 3θ
⇒ 4θ = 90° – 30° – 28° = 32°

⇒ θ =
32°
= 8°
4



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