Question

Seca-tana=1/2.
show that , SecA =5/4

Answer 1

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Answer 2

Answer :

Given that,

secA - tanA = 1/2 ...(i)

We know that,

sec²A - tan²A = 1

or, (secA + tanA) (secA - tanA) = 1

or, (secA + tanA) * (1/2) = 1, by (i)

or, secA + tanA = 2 ...(ii)

Now, adding (i) and (ii), we get

2 secA = 1/2 + 2

or, 2 secA = 5/2

or, secA = 5/4

Hence, proved.

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