Question

Proove that:- 1 + sin tita / 1 - sin tita = (sec tita + tan tita )²
Please answer as soon as possible ​

Answer 1

Step-by-step explanation:

1-sin tita = (sec tita + tan) ^2

1+sin tita

L. H. S

1-sin tita

1+sin tita

= ( 1-sin tita) (1-sin tita)

(1+sin tita) (1-sin tita)

= (1-sin tita)^2

(1)^2- (sin tita) ^2

= (1-sin tita) ^2

1-sin^2 tita

=(1-sin tita)^2

cos^2 tita

= ( 1-sin tita ) ^ 2

( cos tita )

=( 1 - sin tita )

( cos tita cos tita )

(sec tita - tan tita) ^2

Therefore,

1-sin tita = (sec tita -tan tita) ^2

1+sin tita

L. H. S. = R. H. S

Hence proved.