Statement 1: If 3 cos A = 4, sec A = . Statement 2: 3 cos A = 4 ⇒ cos A = and sec A = . 1. Both the statements are true. 2. Both the statements are false. 3. Statement 1 is true, and statement 2 is false. 4. Statement 1 is false, and statement 2 is true.

Given, ⇒ 3 cos A = 4 ⇒ cos A = ⇒ ⇒ sec A = . ∴ Both the statements are true. Hence, option 1 is the correct option.

Mathematics

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Given,

⇒ 3 cos A = 4

⇒ cos A = $\dfrac{4}{3}$

⇒ $\dfrac{1}{\text{cos A}} = \dfrac{1}{\dfrac{4}{3}}$

⇒ sec A = $\dfrac{3}{4}$ .

∴ Both the statements are true.

Hence, option 1 is the correct option.

Answered By

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Statement 2: Since, angle C of triangle ABC = 90°.
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