Prove: 1/ (sec A - 1) + 1/(sec A + 1) = 2 cosec A cot A

Question

Prove:

\(\frac{1}{sec A \,-\, 1} + \frac{1}{sec A \,+\, 1}\) = 2 cosec A cot A

Answer 1

Considering L.H.S and taking L.C.M and on simplifying we have,

= 2 cosec A cot A 

= R.H.S 

Hence proved

Comments

Nice