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Mathematics

Statement 1: If 4 cos A = 3, sec A = 43\dfrac{4}{3}.

Statement 2: 4 cos A = 3 ⇒ cos A = 34\dfrac{3}{4} and sec A = 1cos A=43\dfrac{1}{\text{cos A}} = \dfrac{4}{3}.

  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.

Trigonometrical Ratios

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Answer

Given,

⇒ 4 cos A = 3

⇒ cos A = 34\dfrac{3}{4}

1cos A=134\dfrac{1}{\text{cos A}} = \dfrac{1}{\dfrac{3}{4}}

⇒ sec A = 43\dfrac{4}{3}.

∴ Both the statements are true.

Hence, option 1 is the correct option.

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