Respuesta :

Answer:

See below ~

Step-by-step explanation:

Identities :

  1. cot x = cos x / sin x
  2. sin²x + cos²x = 1

Changing the Left Hand Side (LHS) :

  • 1/cot x + cotx
  • 1/(cos x / sin x) + cos x / sin x
  • sin x / cos x + cos x / sin x
  • Take (sin x)(cos x) as the LCM (Least Common Multiple)
  • sin x (sin x) + cos x (cos x) / (sin x) (cos x)
  • sin²x + cos²x / cos x sin x
  • 1/cos x sin x
  • Equal to the RHS