Cosine Ratio and Its Applications

The video provides a review of using the cosine ratio in right triangles. It explains how the cosine ratio is the length of the adjacent side divided by the hypotenuse. The video includes examples of calculating side lengths and angles using the cosine ratio and inverse cosine. It emphasizes the importance of using a calculator for accurate results and concludes with a review of the concepts covered.

What is the cosine ratio used for in a right-angle triangle?

• To calculate the ratio of the adjacent side to the hypotenuse

• To determine the length of the hypotenuse

• To find the perimeter of the triangle

• To find the area of the triangle

Which sides are involved in the cosine ratio?

• All three sides

• Adjacent and opposite

• Adjacent and hypotenuse

• Opposite and hypotenuse

In the cosine ratio, what does the adjacent side refer to?

• The side opposite the angle

• The longest side of the triangle

• The side next to the angle

• The side opposite the right angle

If the cosine of angle A is 0.5, what is the relationship between the adjacent side and the hypotenuse?

• The hypotenuse is twice the adjacent side

• The adjacent side is equal to the hypotenuse

• The adjacent side is half the hypotenuse

• The adjacent side is twice the hypotenuse

What is the cosine ratio formula?

• Adjacent side divided by opposite side

• Hypotenuse divided by adjacent side

• Opposite side divided by hypotenuse

• Adjacent side divided by hypotenuse

In a right-angle triangle, which side is opposite the right angle?

• Hypotenuse

• Opposite side

• Adjacent side

• None of the above

In Example 1, what is the value of x when the angle is 51 degrees and the hypotenuse is 12?

• 6.2

• 7.6

• 9.1

• 8.4

What is the approximate cosine of 51 degrees used in Example 1?

• 0.522

• 0.822

• 0.622

• 0.722

What is the result of cross-multiplying in Example 1?

• 12 multiplied by 0.622

• 12 multiplied by 0.6293

• 12 multiplied by 0.632

• 12 multiplied by 0.639

In Example 2, what is the hypotenuse if the adjacent side is 3 and the angle is 28 degrees?

• 5.4

• 2.4

• 3.4

• 4.4