please solve this question urgently.
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here's your answer mate
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Step-by-step explanation:
LHS
(1/CosecO-CotO) - 1/SinO
(1/ (1-CosO)/SinO) - 1/SinO
SinO/(1-CosO) - 1/SinO
= SinO(1+CosO)/(1-Cos²O) - 1/SinO
= SinO(1+CosO)/Sin²O - 1/SinO
= (1+CosO)/SinO - 1/SinO
= (1+CosO-1)/SinO
= CosO/SinO = CotO
RHS
1/SinO - 1/(CosecO+CotO)
1/SinO - 1/(1+CosO)/SinO
1/SinO - SinO/(1+CosO)
= 1/SinO - SinO(1-CosO)/(1-Cos²O)
= 1/SinO - SinO(1-CosO)/Sin²O
= 1/SinO - (1-CosO)/SinO
= (1-1+CosO)/SinO
= CosO/SinO
= CotO
So , LHS = RHS = CotO
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