Evaluate using the sum formula of two angles of cosine

The video tutorial covers the addition and subtraction of fractions involving π/12, explores trigonometric identities, and introduces the cosine addition formula. The instructor guides students through identifying and applying the formula, emphasizing the importance of understanding trigonometric values and their simplifications. The session concludes with a validation of the formula's application, ensuring students grasp the concepts for their homework and tests.

What is the main challenge when working with π/12 in trigonometric problems?

• It cannot be used in addition or subtraction.

• Its exact value is unknown.

• It is difficult to convert to degrees.

• It is not a commonly used angle.

Which angles are suggested to be used instead of π/12 for easier calculations?

• 30, 15, or 5 degrees

• 90, 60, or 45 degrees

• 60, 45, or 30 degrees

• 45, 30, or 15 degrees

What is the formula for adding two angles in cosine?

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

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

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

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

What are the values of cosine and sine for π/3?

• cosine: 0, sine: 1

• cosine: 1, sine: 0

• cosine: sqrt(3)/2, sine: 1/2

• cosine: 1/2, sine: sqrt(3)/2

What is the result of applying the cosine addition formula to π/4 and π/3?

• cos(π/4 + π/3) = 1

• cos(π/4 + π/3) = 0

• cos(π/4 + π/3) = sqrt(2)/2

• cos(π/4 + π/3) = 1/2