If sin\theta + cosec \theta = 3(1)/(3), find the value of sin^(2)\theta + cosec^(2) \theta
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Step-by-step explanation:
Sinθ+Cosecθ=3(1)/3=1
(Sinθ+Cosecθ)^2=1^2
Sin^2(θ)+Cosec^2(θ) +2×sin(θ)×cosec(θ)=1
Sin^2(θ)+cosec^2(θ) + 2× sin(θ) ×1/sin(θ)=1
Sin^2(θ)+cosec^2(θ)+2=1
Sin^2(θ)+Cosec^2(θ)=1-2=-1
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