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    If sinθ+cosecθ=√5, then the value of
    Question

    If sinθ+cosecθ=√5, then the value of

    A.

    0

    B.

    3√5

    C.

    1/√5

    D.

    2√5

    Correct option is D

    Given: ​
    ​sinθ+cosecθ=√5 
    Concept Used: 
    sin⁡θ=1cosec⁡θ\sin \theta = \frac{1}{\cosec \theta} 
    if x+1x=Kthen,x3+1x3=K3−3Kx+\frac{1}{x} = K \\ \text{then}, x^3 + \frac{1}{x^3} = K^3 - 3K 
    Solution: 
    ​

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