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Sec^2 θ – Sec^4 θ equals to _____(a) –Sec^2 θ Tan^2 θ(b) – Sec^2 θ Tan^2 θ(c) 1(d) 0This question was posed to me during an online exam.I'm obligated to ask this question of Trigonometric Identities topic in division Trigonometry of Mathematics – Class 10

Answer» RIGHT ANSWER is (a) –Sec^2 θ Tan^2 θ

The EXPLANATION: Sec^2 θ – Sec^4 θ = Sec^2 θ (1 – Sec^2 θ) (∵ sec^2 θ – tan^2 θ = 1)

= Sec^2 θ (-Tan^2 θ)

= -Sec^2 θ Tan^2 θ


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