Finding Lengths in Right Triangles: Introducing the Secant Ratio

The video tutorial introduces the concept of trigonometric ratios, focusing on the secant ratio. It explains how the secant ratio is the reciprocal of the cosine ratio and is used in right triangles to compare the hypotenuse to the adjacent leg. The tutorial provides examples of calculating the secant ratio in various triangles and emphasizes that it is only applicable in right triangles. The video concludes with a problem-solving example using the secant ratio to find a segment length without using the cosine ratio.

What is the secant ratio in a right triangle?

• The length of the leg opposite divided by the hypotenuse

• The length of the hypotenuse divided by the leg adjacent

• The length of the leg opposite divided by the leg adjacent

• The length of the leg adjacent divided by the hypotenuse

In which type of triangles can the secant ratio be used?

• Only isosceles triangles

• Only right triangles

• Only equilateral triangles

• All triangles

What is the approximate value of the secant of a 35-degree angle in the given examples?

• 1.00

• 1.22

• 2.00

• 0.85

How do you calculate the length of a segment using the secant ratio?

• Multiply the hypotenuse by the cosine of the angle

• Divide the hypotenuse by the secant of the angle

• Multiply the hypotenuse by the secant of the angle

• Divide the hypotenuse by the sine of the angle

What is the approximate length of segment DG when using the secant ratio for a 67-degree angle?

• 17.5

• 67.5

• 25.5

• 43.5