Simplify : ( 1+cosec theta ) ( cosec theta - cot theta )
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I'll be using A instead of theta
cosecA - cotA + cosAcosecA -cotAcosA
1/sinA - cosA/sinA + cosA(1/sinA) - cosA(cosA/sinA)
= [1 - cosA + cosA - cos²A]/sinA
= [1-cosA]/sinA
= [1 - cos²A]/sinA
= sin²A/sinA
= sinA
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