Exams › SSC CGL (Prelims) › General

If tan A = x / (x + 1), find the value of sec^2 A.

1. (x^2 + (x + 1)^2) / (x + 1)^2
2. (x^2 + 1) / x^2
3. (2x^2 + 2x + 1) / (x^2 + 1)
4. 1

Correct answer: (x^2 + (x + 1)^2) / (x + 1)^2

Solution

Using sec^2 A = 1 + tan^2 A = 1 + x^2/(x+1)^2 = ((x+1)^2 + x^2)/(x+1)^2, which equals (x^2 + (x+1)^2)/(x+1)^2.

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