Exams › SSC CGL (Prelims) › General

If tan A = x - (1/x), what is the value of sec^2 A?

1. x^2 + 1/x^2 - 1
2. x^2 + 1/x^2 - 2
3. x^2 + 1/x^2 + 1
4. x^2 - 1/x^2

Correct answer: x^2 + 1/x^2 - 1

Solution

Using sec^2 A = 1 + tan^2 A and squaring (x - 1/x), the middle term -2 cancels one unit of the +1, leaving x^2 + 1/x^2 - 1.

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