T[isserwms{x- ) o] conm ol o) के

1.	T[isserwms{x- ) o] conm ol o) के
Answer» LHS = cos(3π/2 + x).cos(2π+x)[cot(3π/2 -x) + cot(2π+ x) ] we know, cos(3π/2 + x) = sinx cos(2π+x) = cosx cot(3π/2 -x) = tanx cot(2π+x) = cotx, use this here, = sinx.cosx[tanx + cotx ]= sinx.cosx [sinx/cosx + cosx/sinx]= sinx.cosx[(sin²x + cos²x]/sinx.cosx = (sin²x + cos²x ) = 1 = RHS

Answer»

LHS = cos(3π/2 + x).cos(2π+x)[cot(3π/2 -x) + cot(2π+ x) ]

we know, cos(3π/2 + x) = sinx cos(2π+x) = cosx cot(3π/2 -x) = tanx cot(2π+x) = cotx, use this here,

= sinx.cosx[tanx + cotx ]= sinx.cosx [sinx/cosx + cosx/sinx]= sinx.cosx[(sin²x + cos²x]/sinx.cosx = (sin²x + cos²x ) = 1 = RHS

Discussion