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Prove the following identities \( (\operatorname{cosec} x-\sin x)(\...
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Prove the following identities
\( (\operatorname{cosec} x-\sin x)(\sec x-\cos x)(\tan x+\cot x)=1 \)
\( (\operatorname{cosec} x-\sin x)(\sec x-\cos x)(\tan x+\cot x)=1 \)