Question

comprobar la identidad:
1/1+seny+1/1-seny=2sec^{2}y

Answer 1

1/1+seny+1/1-seny=2sec^{2}y

1-seny+1+seny/(1+seny)(1-seny)=2sec^{2}y

2/1-sen^{2}y = 2 sec^{2}y

* sen²y+cos²y = 1

cos²y = 1 -sen²y

2/1-sen^{2}y = 2 sec^{2}y

2/cos²y = 2 sec²y

*secy = 1/cosy

2sec²y = 2sec²y

1=1