Understanding Sum to Product and Product to Sum Formulas

This video tutorial explains how to use sum to product and product to sum formulas in trigonometry. It provides examples for calculating the exact values of trigonometric expressions using these formulas. The video covers cosine and sine functions, demonstrating how to transform sums into products and vice versa. It also explains the use of reference angles and the unit circle to find trigonometric values.

What is the main focus of the video tutorial?

• Learning about sum to product and product to sum formulas

• Studying algebraic equations

• Understanding trigonometric identities

• Exploring calculus concepts

Which formula is used to find the exact value of cosine sums?

• Sine addition formula

• Cosine subtraction formula

• Sum to product formula

• Product to sum formula

What is the cosine of 45 degrees?

• √2/2

• √3/2

• 0

• 1

How is the reference angle for cosine 150 degrees determined?

• By subtracting 150 from 180

• By multiplying 150 by 2

• By adding 150 to 180

• By dividing 150 by 2

What is the sine of 45 degrees?

• 1

• √3/2

• 0

• √2/2

Which formula is used to convert the product of two sine functions into a sum?

• Sum to product formula

• Product to sum formula

• Sine addition formula

• Cosine subtraction formula

What is the cosine of 60 degrees?

• 1

• 0

• √3/2

• 1/2

How is the cosine of 210 degrees related to cosine 30 degrees?

• Cosine 210 is the negative of cosine 30

• They are equal

• Cosine 210 is twice cosine 30

• Cosine 210 is half of cosine 30

What is the sine of 120 degrees equivalent to?

• Sine 90 degrees

• Sine 60 degrees

• Sine 45 degrees

• Sine 30 degrees

What is the final result of sine 15 times cosine 105 using product to sum formulas?

• √3/4

• 1/2

• √3 - 2 divided by 4

• 1 + √3 divided by 4