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  1. If cos θ cosec 23° = 1, the value of θ is
    1. 23°
    2. 37°
    3. 63°
    4. 67°
Correct Option: D

cosθ.cosec23° = 1

⇒
1
= secθ
cos θ

⇒ cosec23° = cosec(90° – θ)
⇒ 23° = 90° – θ
⇒ θ = 90° – 23° = 67°


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