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  1. If sin P + cosec P = 2, then the value of sin7P + cosec7P is
    1. 1
    2. 2
    3. 3
    4. 0
Correct Option: B

sinP + cosec P = 2

⇒ sinP +
1
 = 2
sin P

⇒
sin²P + 1
 = 2
sin P

⇒ sin²P + 1 = 2 sinP
⇒ sin²P – 2sin P + 1 = 0
⇒ (sin P – 1)2 = 0
⇒ sinP – 1 = 0
⇒ sinP = 1
∴ cosec P = 1
∴ sin7P + cosec7P
= 1 + 1 = 2


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