Question

please answer correctly class 10 question is down below in an image

Answer 1

Answer:

LHS: (sin x + cos x)(1-sin x cos x)

=> sin x - sin²x cos x + cos x - cos²x sin x

=> sin x - cos²x sin x + cos x - sin²x cos x

=> sin x (1 - cos²x) + cos x(1 - sin²x)

[ 1 - cos²x = sin²x and 1 - sin²x = cos²x ]

=> sin x sin²x + cos x cos²x

=> sin³ x + cos³ x = RHS

hence proved