Question

please anyone solve this
still there are no answers to my previous questions

Answer 1

1/( cosec A - cot A ) - 1/sin A

⇒ 1/( 1/sin A - cos A/sin A ) - 1/sin A

⇒ 1/( 1 - cos A ) / sin A - 1/sin A

⇒ sin A / ( 1 - cos A ) - 1 / sin A

⇒ ( sin²A - 1 + cos A ) / ( sin A - sin A cos A )

1/sin A - 1/( cot A - cosec A )

⇒ 1/sin A - 1/ ( cos A/sin A - 1/sin A )

⇒ 1/sin A - ( sin A ) /( cos A - 1  )

⇒ ( - cos A + 1 - sin² A ) / ( sin A cos A - sin A )

⇒ ( sin²A - 1 + cos A ) / ( sin A - sin A cos A )

- a / - a = a / a

L.H.S = R.H.S