Question

if seca=5/4then evaluate 1-tana/1+tana​

Answer 1

Answer:

sec a= 5/4

therefore by using identity we find tana

1+ tan²a= sec²a

1+ tan²a=5²/4²

1+tan²a = 25/16

tan²a= 25/16-1

tan²a= 25-16/16

tan²a=9/16

tan a= 3/4

therefore, 1-tan a/1+ tan@

1-3/4/1+3/4

4-3/4/4+3/4

1/4/7/4

1/7