Question

sin theta+ cosec theta÷sin theta=2+cot^2theta.prove l.h.s =r.h.s​

Answer 1

LHS = (sin0 + cosec0)/sin0

=> sin0/sin0 + 1/ sin0× 1/sin0

=> 1+ 1/sin²0

=> 1+ cosec²0

= > 1+ cot² 0 +1 ( since,cot²0 +1 = cosec²0)

=> 2 + cot²0 = RHS

hence proved, lhs = rhs

thank you!

Answer 2

Hoya Here is pic of your question .

hope your better understand now