Given an expression determine the function and angle

The video tutorial emphasizes the importance of understanding formulas through practice rather than memorization. It explains how cosine and sine functions are paired and the differences in their formulas. The tutorial also demonstrates the application of the cosine formula to specific angles, highlighting the use of addition and subtraction in these calculations.

Why does the instructor believe students will eventually memorize the formulas?

• Because they are required to memorize them for exams.

• Because they will be provided with the formulas during tests.

• Because they will become familiar with them through practice.

• Because the instructor will repeat them in every class.

What is the key to determining whether to use the cosine or sine function according to the instructor?

• The number of angles involved.

• The instructor's preference.

• The pairing of cosine and sine functions.

• The complexity of the problem.

How does the instructor remember the sign used in the sine formula?

• Sine uses a random sign.

• Sine always uses the opposite sign.

• Sine uses the sign of the larger angle.

• Sine always uses the same sign.

What is the formula used to calculate the cosine of the sum of two angles?

• cos(U + V) = sin(U) * cos(V) + cos(U) * sin(V)

• cos(U + V) = sin(U) * sin(V) - cos(U) * cos(V)

• cos(U + V) = cos(U) * cos(V) - sin(U) * sin(V)

• cos(U + V) = cos(U) * cos(V) + sin(U) * sin(V)

What are the angle values used by the instructor to demonstrate the cosine formula?

• 30 degrees and 60 degrees

• 45 degrees and 90 degrees

• 45 degrees and 120 degrees

• 60 degrees and 120 degrees