Question

Statement (1): If 4 cos A = 3, sec A = `4/3`.

Statement (2): 4 cos A = 3 ⇒ cos A = `3/4` and sec A = `1/(cos A) = 4/3`.

विकल्प

• Both the statements are true.

• Both the statements are false.

• Statement 1 is true, and statement 2 is false.

• Statement 1 is false, and statement 2 is true.

Answer 1

Both the statements are true.

Explanation:

From  4 cos A = 3, cos A = `3/4` sec A = `4/3`. Since sec A = `1/(cos A)`, sec A = `4/3`. Thus both statements are algebraically correct for any A where cos A is defined.