If 5sin2θ + 4cos2θ = 9/2 and 0 < θ < π/2, then cot θ is equal to?
1). 1
2). 0
3). -1
4). ¼
5sin2θ + 4cos2θ = 9/2
⇒ sin2θ + 4sin2θ + 4cos2 θ = 9/2
⇒ sin2θ + 4(sin2θ + cos2 θ) = 9/2
⇒ sin2θ + 4 = 9/2
⇒ sin2θ = 9/2 – 4
⇒ sin2θ = ½
⇒ sin θ = 1/√2
⇒ θ = 45°
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