Question

For an angle ∠A where cos A = 12/13, which of the following statements is true?

A) ∠A is in all four quadrants.
B) ∠A is in quadrants I and II.
C) ∠A is in quadrants I and IV.
D) ∠A is in quadrants II and III.

Answer 1

For an angle ∠A where cos A = 12/13, ∠A is in quadrants I and IV because the cosine is positive in these quadrants. the Correct answer is C) ∠A is in quadrants I and IV

Step-by-step explanation:

The question relates to trigonometry and the position of angles in different quadrants on the unit circle. We are given that cos A = 12/13 for angle ∠A and need to determine in which quadrants such an angle can be found. The cosine of an angle represents the x-coordinate on the unit circle for that angle and it is positive in quadrants I and IV. Given that cos A is positive, angle ∠A must lie in the first or fourth quadrant. Hence, the correct answer is C) ∠A is in quadrants I and IV, because in both these quadrants the cosine value is positive.