Trigonometric Functions and Applications

In this video, Stefan, a math professional, explains how to find the lengths of the sides of a right triangle using its interior angles. Given a right triangle with a hypotenuse of 10 and an angle of 37 degrees, he demonstrates how to calculate the adjacent side using the cosine function and the opposite side using the sine function. The video concludes with a summary of the calculated side lengths.

Who is the speaker in the video?

• Stefan

• John

• Michael

• Emily

What is the length of the hypotenuse given in the problem?

• 12

• 15

• 10

• 8

Which angle is provided in the triangle problem?

• 60 degrees

• 45 degrees

• 37 degrees

• 30 degrees

What is the significance of the angle 37 degrees in this problem?

• It is the right angle

• It is used to calculate side lengths

• It is the largest angle

• It is the smallest angle

What trigonometric function is used to find the adjacent side?

• Secant

• Cosine

• Tangent

• Sine

Which trigonometric function is a ratio of the adjacent side over the hypotenuse?

• Cosecant

• Sine

• Tangent

• Cosine

What is the formula for finding the adjacent side using cosine?

• a = 10 / cos(37 degrees)

• a = 10 * tan(37 degrees)

• a = 10 * cos(37 degrees)

• a = 10 * sin(37 degrees)

What is the purpose of using a scientific calculator in this problem?

• To draw the triangle

• To measure the hypotenuse

• To calculate the trigonometric ratios

• To find the angle

What trigonometric function is used to find the opposite side?

• Sine

• Cosine

• Tangent

• Cotangent

Which trigonometric function is a ratio of the opposite side over the hypotenuse?

• Tangent

• Sine

• Secant

• Cosine