If x cos A = 1 and tan A = y, then x2 − y2 is equal to: 1. 0 2. 1 3. −tan A 4. tan A

Given, x cos A = 1 cos A = ⇒ sec A = x tan A = y We know that sec2 A - tan2 A = 1 x2 − y2 = 1 Hence, option 2 is the correct option.

Mathematics

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Given,

x cos A = 1

cos A = $\dfrac{1}{x}$

⇒ sec A = x

tan A = y

We know that

sec² A - tan² A = 1

∴ x² − y² = 1

Hence, option 2 is the correct option.

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