Question

prove cosec A-sinA/cosec A+sin A=sec^2 A-tan^2 A/ sec^2 A+ tan^2 A please tell fast correct answer will gain something​

Answer 1

Answer:

happy independence day

Answer 2

Answer:

(sin A + csc A)² + (cos A + sec A)²

= sin² A + csc²A + 2 sin A csc A+ cos² A + sec²A + 2 cos A sec A ..As[a² + b² + 2ab =

(a + b)²]

1 sin² A + csc²A + 2 sin A X + cos² A + sin A 1 sec² A+ 2 cos A

cos A

since sec A

=

1

cos A

1

sin A

sin² A + csc²A + 2+ cos² A+ sec² A + 2

= (sin²A + cos² A) + csc²A + sec² A +4

= 1+1+ cot² A +1+tan²A +4 since csc² A = 1 + cot² A and sec² A =

1 + tan² A

= 7+tan²A + cot² A Hence proved.

Step-by-step explanation:

thankyou