Question

sinA/sec A +1 + sinA/secA-1=2cot A​

Answer 1

Question:

sin A/sec A +1 + sin A/ sec A-1=2 cotA

Answer:

LHS:-

sin A/ sec A +1+ sin A/ sec A-1

= sin A ( sec A-1 )+ sin A ( sec A +1 )/ sec^2 A - 1

=2sin A . sec A / tan^ A

=2 sin A × 1 / cos A × 1/ tan^2A

=2 tanA × 1 / tan^2A

=2/ tan A

= 2cotA

Thanks: