prove that cosec^2theta/cosectheta-1 -cosec^2theta/cosectheta+1 =2sec^2theta
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By taking Cosec^2 θ Common
(Cosecθ)^2(1/Cosecθ-1 -1/Cosecθ+1)
(Cosecθ)^2(Cosecθ+1-Cosecθ + 1)/(Cosecθ)^2 - 1
(Cosecθ)^2)(2)/(Cotθ)^2
2(Cosecθ)^2(Tanθ)^2
2(Cosecθ *Tanθ)^2
2(Cosecθ * Secθ / Cosecθ)^2
2(Sec)^2
(Cosecθ)^2(1/Cosecθ-1 -1/Cosecθ+1)
(Cosecθ)^2(Cosecθ+1-Cosecθ + 1)/(Cosecθ)^2 - 1
(Cosecθ)^2)(2)/(Cotθ)^2
2(Cosecθ)^2(Tanθ)^2
2(Cosecθ *Tanθ)^2
2(Cosecθ * Secθ / Cosecθ)^2
2(Sec)^2
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