Unit Six: Trigonometry - Cosine Ratio

The legs of a right triangle are lengths x and x√3. The cosine of the smallest angle of the triangle is _____. 1/2 √3 (√3)/2 2√3

(root 3)/2

Which of the following expressions is equal to the value of x? 0.9(sin50) (sin50)/0.9 0.9(cos50) (cos50)/0.9

0.9(sin50)

Find x to the nearest tenth. 0.7 1.0 1.1 1.4

1.4

Based on the given triangle, the cosine of the 60 degree angle is: Root 3/2 1/2 Root 3

1/2

Which of the following expressions is equal to the value of x? 119(cos52) 52(cos119) (cos52)/119 119/cos52

119(cos52)

In a right triangle the cosine of an acute angle is 1/2 and the hypotenuse measures 7 inches. What is the length of the side of the triangle adjacent to this angle? 1 3.5 6.1 7

3.5

Complete the following item. Consult the table above to find the cosine number. Find angle A to the nearest degree. A ≈ ___ degrees.

47 degrees

Find the measure of angle A. 32 57 59 No angle exists.

57

True/False - The cosine of an angle is the ratio of the opposite side over the hypotenuse.

False

True/False - The cosine ratio is used to solve for missing sides or angles in an equilateral triangle.

False

Based on the given triangle, the cosine of the 30 degree angle is: Root 3/2 1/2 1/root 3

Root 3/2

True/False - The cosine of an angle is a ratio.

True

True/False - The sine of a 30 degree angle is equal to the cosine of a 60 degree angle.

True

Based on the diagram, all of the following are true except cos38 = 24/x sin52 = 24/x cos38 = x/34 cos52 = x/24

cos52 = x/24

Based on the diagram, which of the following represents the cosine of 70 degrees? 12.4/x x/12.4 70/12.4 12.4/70

x/12.4