Question

1/secA-1 -1/secA+1 =2cot²A​

Answer 1

Step-by-step explanation:

1/secA-1 - 1/secA+1

secA+1-(secA-1)/secA+1×secA-1=

2/sec²A-1=2/tan²A=2/sin²A/cos²A=2cos²A/sin²A

=2cot²A RHS

2cot²A LHS

since LHS=RHS

1/secA-1 - 1/secA+1=2cot²A

proved;

tanA=SinA/cosA

cotA=cosA/SinA