Question

(sec a +tan a) =7/5 then (sec a - tan a) =?

Answer 1

Given:

sec a + tan a =7/5

To find:

sec a - tan a =?

Using the identity:

sec^2a - tan^2a=1

=>(sec a + tan a)(sec a - tan a)=1

=>7/5(sec a - tan a)=1

=>sec a - tan a= 5/7

Answer 2

seca+tana=7/5

(seca+tana)(seca-tana)/(seca-tana)=7/5

(sec²a-tan²a)/(seca-tana)=7/5

1/(seca-tana)=7/5

=>. seca-tana=5/7

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