If SecA + tanA = x. Find secA-tanA in terms of x.

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Solution

Given secA + tan A = x
Recall the identity, sec2A – tan2A = 1
⇒ (secA + tan A)(secA – tanA) = 1
⇒ x × (secA – tanA) = 1
∴ (secA – tanA) = 1/x

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