Question

Omar wants to determine cos( - 3°) using the ratios of the 30° - 60° - 90° right triangle. How should he use this information to determine cos ( – 2°)?

A. Apply the cosine of complementary angles.
B. Use the sine of the given angle.
C. Apply the tangent of complementary angles.
D. Use the secant of the given angle.

Answer 1

Omar should apply the cosine of complementary angles to determine cos(-3°) using the ratios of the 30° - 60° - 90° right triangle.

Step-by-step explanation:

To determine cos(-3°) using the ratios of the 30° - 60° - 90° right triangle, Omar can apply the cosine of complementary angles.

Since -3° and 30° are complementary angles, the cosine of -3° is equal to the sine of 30°. The sine of 30° can be determined using the opposite side and the hypotenuse in the right triangle.

Therefore, Omar should use option A: Apply the cosine of complementary angles.