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  1. If  
    cosecθ + sinθ
    		 =
    5
    		  then the value of sinq is equal to
    cosecθ − sinθ3
    1. 1
      2
    2. 1
      √2
    3. √3
      2
    4. 1
Correct Option: A

cosecθ + sinθ
 =
5
cosecθ − sinθ3

⇒  5 cosecθ – 5 sinθ
= 3 cosecθ + 3 sinθ
⇒  5 cosecθ – 3 cosecθ
= 5 sinθ + 3 sinθ
⇒  2 cosecθ = 8 sinθ
⇒ 
1
 = 4 sinθ
sinθ

⇒  4 sin2θ = 1 ⇒ 2sinθ = 1
⇒  sinθ =
1
2


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