Question

simplify: ( 1 + cot²teta) (1 - cos teta) (1+ costeta)​

Answer 1

Answer:

in this we use the following identities

1 ) 1+ cot^2 teta = cosec^2 tera

2) (a+b)(a-b) = a^2 - b^2

so by this identity

(1+cos teta ) ( 1-cos teta ) = 1^2 - cos^2 teta

3) (1^2 - cos^2 teta) = sin^2 teta

4) cosec^2 teta = 1/sin^2 teta