Question

if sinA=3/4 then prove that sec^2A= 1+tan^2A/cosec^2A- cot^2A​

Answer 1

Step-by-step explanation:

sec²A= 1+tan²A/cosec²A-cot²A

as we know 1+tan²A=sec²A( from identity)-----(1)

and cosec²A-cot²A=1(from identity)----(2)

so , RHS=sec²A/1 = sec²A

hence LHS= RHS (proved)