Question

comprueba la siguiente identidad}
(1 - cos (A) (1+ sec (A)) cot (A) = sen (A)

Answer 1

( 1 - cos ( A ) ( 1+ sec ( A ) ) . cot ( A )        = sen ( A )
( 1 - cos ( A ) ( 1 + 1/cos ( A ) ) . cot ( A )    = sen ( A )
( 1 - cos ( A ) ( ( 1 + cos ( A ) )/ cos A ) . ( cos ( A ) / sen ( A ) ) = sen ( A )
( 1 - cos² ( A )/ sen A = sen ( A )
sen² ( A ) / sen A       = sen ( A )
sen ( A )                     = sen ( A )