Understanding Trigonometric Functions in Right Triangles

The video tutorial explains how to determine which trigonometric function to use based on given information in a right triangle. It reviews the definitions of trigonometric functions as ratios of the lengths of sides of right triangles. The tutorial provides three examples: using the cosine function with angle A, the tangent function with angle B, and the sine function with angle B. Each example involves identifying the opposite, adjacent, and hypotenuse sides relative to a given angle and applying the appropriate trigonometric function.

What is the primary focus of trigonometric functions in right triangles?

• Finding the area

• Understanding side ratios

• Determining side lengths

• Calculating angles

Which side is always opposite the right angle in a right triangle?

• Opposite side

• Hypotenuse

• Base

• Adjacent side

If angle A is given, which trigonometric function involves the adjacent side and the hypotenuse?

• Sine

• Cosine

• Tangent

• Secant

What is the cosine of angle A equal to in terms of side lengths?

• Ratio of opposite side to adjacent side

• Ratio of hypotenuse to adjacent side

• Ratio of adjacent side to hypotenuse

• Ratio of opposite side to hypotenuse

In the second example, which side is opposite angle B?

• Side A

• Side B

• Side C

• None of the above

Which trigonometric function involves the opposite side and the adjacent side?

• Cosine

• Cotangent

• Tangent

• Sine

What is the tangent of angle B equal to in terms of side lengths?

• Ratio of opposite side to adjacent side

• Ratio of adjacent side to hypotenuse

• Ratio of hypotenuse to opposite side

• Ratio of opposite side to hypotenuse

In the final example, which side is the hypotenuse?

• Side A

• Side B

• Side C

• None of the above

Which trigonometric function involves the opposite side and the hypotenuse?

• Tangent

• Cosine

• Sine

• Cotangent

What is the sine of angle B equal to in terms of side lengths?

• Ratio of opposite side to hypotenuse

• Ratio of hypotenuse to opposite side

• Ratio of adjacent side to hypotenuse

• Ratio of opposite side to adjacent side