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Evaluate tan^2 A + (1 + sec A) (sec A – 1).(a) 3 tan^2 A(b) 0(c) 2tan^2 A(d) 1The question was posed to me during an online exam.My question comes from Trigonometric Identities topic in division Trigonometry of Mathematics – Class 10

Answer» CORRECT answer is (C) 2tan^2 A

The explanation: tan^2 A + (1 + sec A) (sec A – 1) = tan^2 A + (sec A + 1) (sec A – 1)

= tan^2 A + (sec^2 A – 1)

= tan^2 A + tan^2 A

= 2tan^2 A


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