Question

cos A . cot A / 1- sin A =1+cosec A​

Answer 1

Answer:

Step-by-step explanation:

LHS=(CosA*CotA)/(1-SinA)

      ={(CosA*CosA)/SinA}/(1-SinA)

      = (Cos²A)/{(1-SinA)SinA}

      =[(Cos²A)/{(1-SinA)SinA}]*{(1+SinA)/(1+sinA)}

      ={(Cos²A)*(1+SinA)}/(SinA*Cos²A)

      =(1+SinA)/SinA

      =(1/SinA+1)

      =CosecA+1=RHS

∴LHS=RHS PROVED