Trigonometric Sum and Difference Formulas Quiz

What is the primary focus of this video series?

• Using sum and difference formulas for trigonometric problems

• Understanding trigonometric identities

• Exploring the unit circle

• Learning about special right triangles

How can we express cosine of 75 degrees using special angles?

• Cosine of 45 plus 30 degrees

• Cosine of 60 plus 15 degrees

• Cosine of 90 minus 15 degrees

• Cosine of 30 plus 45 degrees

Which formula is used to expand cosine of 30 plus 45 degrees?

• Cosine difference formula

• Cosine sum formula

• Sine sum formula

• Tangent sum formula

How is sine of pi over 12 expressed using special angles?

• Sine of pi over 3 minus pi over 4

• Sine of pi over 6 plus pi over 6

• Sine of pi over 4 plus pi over 8

• Sine of pi over 2 minus pi over 3

What is the result of simplifying sine of pi over 12 using the difference formula?

• Root two plus root six all over four

• Root two minus root six all over four

• Root six minus root two all over four

• Root six plus root two all over four

What should you do before attempting the practice problems?

• Read the textbook

• Pause the video and try the examples on your own

• Review the unit circle

• Watch the next video in the series

In the practice problems, what is the exact value of cosine of 15 degrees?

• Root two plus root six all over four

• Root six plus root two all over four

• Root two minus root six all over four

• Root six minus root two all over four

What is the first step in solving advanced examples with given sine and cosine values?

• Draw reference triangles

• Memorize the formulas

• Use the Pythagorean theorem

• Apply the unit circle

What is the final answer for sine of u plus v in the advanced example?

• Positive 45 over 65

• Negative 45 over 65

• Positive 33 over 65

• Negative 33 over 65

What is the result of cosine of alpha minus beta in the advanced example?

• 15 plus 4 root 39 all over 40

• 15 minus 4 root 39 all over 40

• 4 root 39 plus 15 all over 40

• 4 root 39 minus 15 all over 40