Answer:
Below.
Step-by-step explanation:
( 1 + sin a) / (1 + csc a)
= (1 + sin a ) /( 1 + 1/ sin a)
= ( 1 + sin a) / (sin a + 1)/ (sin a)
= (sin a(1 + sin a)) / (1 + sin a)
= sin a.
tan a / sec a
= (sin a / cos a) / (1 /cos a)
= (sin a cos a) / cos a
= sin a
The two expressions are both equal to sin a:
Therefore
(1 + sin a) /( 1 + csc a) = tan a / sec a.
