Trigonometric Functions and Right Triangles

The video tutorial explains how to solve a right triangle problem given the length of side B and the measure of angle B. It starts by calculating angle A using the properties of triangles. Then, it uses trigonometric functions, cosine and tangent, to find the lengths of sides C and A, respectively. The tutorial emphasizes the importance of using a calculator in degree mode and choosing the correct trigonometric function based on known values. The video concludes with a summary of the calculated values.

What is the length of side B in the given right triangle problem?

• 8 units

• 12 units

• 5 units

• 10 units

If angle B is 38 degrees, what is the measure of angle A?

• 58 degrees

• 42 degrees

• 48 degrees

• 52 degrees

What is the sum of the two acute angles in a right triangle?

• 90 degrees

• 60 degrees

• 120 degrees

• 45 degrees

Which trigonometric function is used to find the length of side C?

• Secant

• Tangent

• Cosine

• Sine

What is the approximate length of side C when rounded to the nearest tenth?

• 14.0

• 13.0

• 12.0

• 11.5

Why is it important to have the calculator in degree mode?

• To convert radians to degrees

• To avoid syntax errors

• To ensure accurate angle measurements

• To simplify calculations

Which trigonometric function is used to find the length of side A?

• Sine

• Cosine

• Cotangent

• Tangent

What is the approximate length of side A to the nearest tenth?

• 9.8 units

• 10.2 units

• 11.0 units

• 12.5 units

Why is side B preferred over side C for calculating side A?

• Side B is longer

• Side B is an exact value

• Side C is unknown

• Side C is shorter

What is the role of the tangent function in this problem?

• To find the adjacent side

• To find the hypotenuse

• To find the opposite side

• To find the angle