Question

Prove that
cosec A + cot A = 1/cosec A - cot A​

Answer 1

Answer:

Step-by-step explanation:

1/(cosec a - cot a) =

1/(1/sin a - cos a/sin a) =

1/((1 - cos a)/sin a) =

sin a/(1 - cos a) =

(1 + cos a)/(1 + cos a) sin a/(1 - cos a) =

(sin a + sin a cos  a)/(1 - cos^2a) =

(sin a + sin a cos a)/sin^2a =

1/sin a + cos a/sin a =

cosec a + cot a