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  1. If sinθ + cosecθ = 2, the value of sinnq + cosecnθ is :
    1. 2n
    2. 21/n
    3. 2
    4. 0
Correct Option: C

sinθ + cosecθ = 2

⇒ sinθ +
1
 = 2
sinθ

⇒
sinθ + 1
 = 2
sinθ

⇒ sin²θ + 1 = 2 sinθ
⇒ sin²θ – 2sinθ + 1 = 0
⇒ (sinθ – 1)2 = 0
⇒ sinθ – 1 = 0
⇒ sinθ – 1
∴ cosecθ = 1
∴ sinnθ + cosecnθ = 1 + 1 = 2


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