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Step-by-step explanation:
(cosec(θ)-cot(θ))²
(1/sin(θ)-(cos(θ)/sin(θ)))²
(1-cos(θ))²/sin²(θ)
(1-cos(θ))²/1-cos²(θ).....as sin²(θ)+cos²(θ)=1
now a²-b²=(a+b)(a-b)
(1-cos(θ))²/(1+cos(θ))(1-cos(θ))
1-cos(θ)/1+cos(θ)
hence proved
hope it helps u
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