Question

DO YOU HAVE THE GUTS TO DO THIS ???!!!

prove that:
sinA + sin^2A / cosA - cos2A=cotA/2

for the best answer you get brainliest ​

Answer 1

Answer:

sin A + sin 2A) / (cos A - cos 2A)

= (sin A + 2 sin A cos A) / (cos A - 2 cos² A + 1)

= sin A (1 + 2 cos A) / [(2 cos A + 1) (-cos A + 1)]

= sin A / (1 - cos A)

= 2 sin (A/2) cos (A/2) / (1 - 1 + 2 sin² (A/2))

= 2 sin (A/2) cos (A/2) / (2 sin² (A/2))

= cos (A/2) / sin (A/2)

= cot (A/2).

Answer 2

Answer:

Step-by-step explanation:

(sin A + 2 sin A cos A) / (cos A - 2 cos² A + 1)

sin A (1 + 2 cos A) / [(2 cos A + 1) (-cos A + 1)]

sin A / (1 - cos A)

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

2 sin (A/2) cos (A/2) / (2 sin² (A/2))

cos (A/2) / sin (A/2)

cot (A/2).