Taking LHS, (cosec p- sin p)(sec p- cos p)(tan p+cot p) =(1/sin p-sin p)(1/cosp-cos p)(sinp/cos p+cos p/sin p) =(1-sin^2p/sin p)(1-cos^2p/cos p)(sin^2p+cos^2p/sin p×cos p) (Cos^2p/sin p)(sin^2p/cosp)(1/sin p×cos p) =1×1×1 =1=RHS=proved

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Deepak Varshney 6 years, 11 months ago

=(1/sinp-sinp)(1/cosp-cosp)(sinp/cosp+cosp/sinp) =(1-sin²p/sin)(1-cos²p/cos)(sin²p+cos²p/sinpcosp) =(Cos²p/sinp)(sin²p/cosp)(sin²p+cos²p/sinpcosp) = 1

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