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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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