Exploring Trigonometric Ratios in Right Triangles

The video tutorial explains how to apply trigonometric ratios to solve right triangles. It begins with an introduction to sine, cosine, and tangent ratios, and demonstrates how to use these ratios to find unknown sides and angles of a triangle. The tutorial includes examples of solving for the hypotenuse and adjacent side using sine and tangent, respectively. It also covers calculating the remaining angle in a triangle. The video concludes with an analysis of a different triangle, XYZ, using known side lengths to find missing angles and sides.

What trigonometric ratio is defined as opposite over hypotenuse?

• Sine

• Cosine

• Tangent

• Cotangent

Which trigonometric ratio is equal to adjacent over hypotenuse?

• Cotangent

• Sine

• Cosine

• Tangent

To find the hypotenuse given an angle and the opposite side, which trigonometric function would you use?

• Secant

• Tangent

• Cosine

• Sine

How do you find the length of the adjacent side when you know the angle and the opposite side?

• Multiply the opposite by the tangent of the angle

• Divide the opposite by the tangent of the angle

• Divide the opposite by the cosine of the angle

• Multiply the opposite by the sine of the angle

If the opposite side is 14 units and the angle is 15 degrees, what is the length of the hypotenuse?

• 48.5 units

• 54.1 units

• 52.2 units

• 50 units

What is the measure of angle B if angle A is 15 degrees in a right triangle?

• 60 degrees

• 105 degrees

• 75 degrees

• 90 degrees

If you know two sides of a right triangle, which trigonometric ratio allows you to find an angle?

• Sine

• Cosine

• Tangent

• Cosecant

Which trigonometric function is used to find the measure of an angle when you know the opposite and adjacent sides?

• Secant

• Tangent

• Sine

• Cosine

What is the measure of the hypotenuse in the second triangle if one side is 9 units and the angle opposite to it is 52.1 degrees?

• 12.5 units

• 10.2 units

• 9.8 units

• 11.4 units

What is the measure of angle Y in the second triangle?

• 52.1 degrees

• 37.9 degrees

• 42.1 degrees

• 45 degrees