Q. 14.3( 9 Votes )

If sec θ + tan θ = x, then sec θ =




Answer :

Given: sec θ + tan θ = x ……………(i)

To find: sec θ

We know that 1 + tan2 θ = sec2 θ

sec2 θ – tan2 θ = 1

a2 – b2 = (a – b) (a + b)

sec2 θ – tan2 θ = (sec θ – tan θ) (sec θ + tan θ) = 1

From (i), we have

(sec θ – tan θ) x = 1


Adding (i) and (ii), we get

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