Question

Show that sinx / (cosecx - 1) + cosx / (1+secx) = sinxcosx / (sinx - cosx) Please solve it

Answer 1

Answer:in attachment

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

sin x / ( cosec x - 1) + cos x / (1+sec x) = sin x cos x / (sin x - cos x)

sin x / (( 1 - sin x )/ sin x ) + cos x ( (cos x + 1)/cos x

sin² x / ( 1- sin x ) + cos ²x/ ( cos x + 1)

(sin² x  ( 1 +  cos x) + cos² x ( 1- sin x))/ ( ( 1- sin x ) ( cos x + 1))

(sin² x + sin² x cos x + cos²x - cos²x sin x )/  ( ( 1- sin x ) ( cos x + 1))

( 1 + sin x cos x (   sin x +cos x))/ ( ( 1- sin x ) ( cos x + 1))

1 /( ( 1- sin x ) ( cos x + 1)) +  sin x cos x (   sin x +cos x)/( ( 1- sin x ) ( cos x + 1))