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Step-by-step explanation:
Given sinθ = a² - b² / a² + b²
(i)cosecθ = 1/sinθ
hence cosecθ= a² + b² / a² - b²
(ii)using the identity cos²θ + sin²θ = 1
hence cosθ = √1-sin²θ = 2ab/a²+b²
(iii)secθ= 1/cosθ
hence secθ = a²+b²/2ab
(iv)tanθ=sinθ/cosθ
hence tanθ = a²-b²/2ab
(v) cotθ = 1/tanθ
hence cotθ = 2ab/a²-b²
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