Question

simplify( 1 - cos theta)
( 1 + cos theta ) (1 + cot square theta)​

Answer 1

hope this helps you☺️☺️

Answer 2

Answer:

( 1 - cos theta)  ( 1 + cos theta ) (1 + cot square theta)​

⇒ (1² - cos² theta) (1 + cot² theta)​ [ here, we just apply the formula a² - b² = (a+b) (a-b) ]

⇒ (1² - cos² theta) * cosec² theta [ we know that (1 + cot² theta) = cosec² theta]

⇒ sin² theta * cosec² theta  [ we also know that (1² - cos² theta) = sin² theta ]

⇒ sin² theta * (1 / sin² theta) [ apply this formula (1 / sin² theta) = cosec² theta ]

⇒ 1

So, the final answer is 1