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  1. If sin θ + cosec θ = 2, then the value of sin9θ + cosec9θ is :
    1. 3
    2. 2
    3. 4
    4. 1
Correct Option: B

sin θ + cosec θ = 2

⇒ sin θ =
1
= 2
sin θ

⇒ sin² θ - 2 sinθ + 1 = 0
⇒ (sin θ - 1)² = 0
⇒ sin θ = 1
∴ cosec θ = 1
∴ sin9 θ + cosec9 θ = 1 + 1 = 2


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