Podcast
Questions and Answers
What is the formula for sin(α - β)?
What is the formula for sin(α - β)?
- cos α cos β + sin α sin β
- cos α cos β - sin α sin β
- sin α cos β - cos α sin β (correct)
- sin α cos β + cos α sin β
What is the formula for cos(2α)?
What is the formula for cos(2α)?
- cos^2 α + sin^2 α
- 2 sin α cos α
- 2 cos^2 α - 1 (correct)
- cos^2 α - sin^2 α
What is the formula for sin(α + β)?
What is the formula for sin(α + β)?
- cos α cos β + sin α sin β
- cos α cos β - sin α sin β
- sin α cos β + cos α sin β (correct)
- sin α cos β - cos α sin β
What is the formula for cos(α - β)?
What is the formula for cos(α - β)?
What is the formula for sin(2α)?
What is the formula for sin(2α)?
What is the formula for cos(α + β)?
What is the formula for cos(α + β)?
What is the formula for the cosine of a difference?
What is the formula for the cosine of a difference?
Which method is used to derive the formula for $\cos(\alpha + \beta)$?
Which method is used to derive the formula for $\cos(\alpha + \beta)$?
What is the formula for the sine of a sum?
What is the formula for the sine of a sum?
What is the formula for the cosine of a sum?
What is the formula for the cosine of a sum?
What is the purpose of deriving compound angle formulas?
What is the purpose of deriving compound angle formulas?
What is the formula for the sine of a difference?
What is the formula for the sine of a difference?
Which of the following is not a method used to derive compound angle formulas?
Which of the following is not a method used to derive compound angle formulas?
What is the advantage of using compound angle formulas?
What is the advantage of using compound angle formulas?
What is the correct application of the co-function identity in the derivation of the sine of a difference formula?
What is the correct application of the co-function identity in the derivation of the sine of a difference formula?
Which of the following is a correct application of the compound angle formula for sine?
Which of the following is a correct application of the compound angle formula for sine?
What is the result of applying the double angle formula for sine to sin(4α)?
What is the result of applying the double angle formula for sine to sin(4α)?
Which of the following identities is used in the derivation of the cosine of a difference formula?
Which of the following identities is used in the derivation of the cosine of a difference formula?
What is the difference between the formulas for cos(α - β) and cos(α + β)?
What is the difference between the formulas for cos(α - β) and cos(α + β)?
In deriving the formula for cos(α - β), which of the following is used?
In deriving the formula for cos(α - β), which of the following is used?
What is the purpose of using co-functions in the derivation of compound angle formulas?
What is the purpose of using co-functions in the derivation of compound angle formulas?
Which of the following formulas can be derived using the compound angle formula for cosine?
Which of the following formulas can be derived using the compound angle formula for cosine?
What is the purpose of rewriting α + β as α - (-β) in deriving the formula for cos(α + β)?
What is the purpose of rewriting α + β as α - (-β) in deriving the formula for cos(α + β)?
Which of the following is a consequence of the even-odd identities?
Which of the following is a consequence of the even-odd identities?
What is the relation between the formulas for sin(α - β) and sin(α + β)?
What is the relation between the formulas for sin(α - β) and sin(α + β)?
What is the underlying principle in deriving the formulas for compound angles?
What is the underlying principle in deriving the formulas for compound angles?
Why are compound angle formulas useful?
Why are compound angle formulas useful?
What is the significance of the method used to derive cos(α + β)?
What is the significance of the method used to derive cos(α + β)?
If sin(α) = 3/5 and cos(β) = 4/5, what is the value of sin(α - β)?
If sin(α) = 3/5 and cos(β) = 4/5, what is the value of sin(α - β)?
If cos(α) = 2/3 and sin(β) = 1/3, what is the value of cos(α + β)?
If cos(α) = 2/3 and sin(β) = 1/3, what is the value of cos(α + β)?
If sin(α) = 1/2 and cos(α) = √3/2, what is the value of sin(2α)?
If sin(α) = 1/2 and cos(α) = √3/2, what is the value of sin(2α)?
If cos(α) = 3/5 and sin(α) = 4/5, what is the value of cos(2α)?
If cos(α) = 3/5 and sin(α) = 4/5, what is the value of cos(2α)?
What is the value of sin(α) cos(β) + cos(α) sin(β) in terms of compound angle formulas?
What is the value of sin(α) cos(β) + cos(α) sin(β) in terms of compound angle formulas?
What is the value of cos(α) cos(β) - sin(α) sin(β) in terms of compound angle formulas?
What is the value of cos(α) cos(β) - sin(α) sin(β) in terms of compound angle formulas?
What is the key step in deriving the formula for cos(α + β) using the negative angle identity?
What is the key step in deriving the formula for cos(α + β) using the negative angle identity?
What is the purpose of using the distance formula and cosine rule in deriving the formula for cos(α - β)?
What is the purpose of using the distance formula and cosine rule in deriving the formula for cos(α - β)?
What is the common feature among the formulas for sin(α - β), sin(α + β), cos(α - β), and cos(α + β)?
What is the common feature among the formulas for sin(α - β), sin(α + β), cos(α - β), and cos(α + β)?
What is the reason for the difference in signs between the formulas for cos(α - β) and cos(α + β)?
What is the reason for the difference in signs between the formulas for cos(α - β) and cos(α + β)?
What is the underlying principle behind the derivation of the formulas for compound angles?
What is the underlying principle behind the derivation of the formulas for compound angles?
What is the role of the negative angle identity in deriving the formula for cos(α + β)?
What is the role of the negative angle identity in deriving the formula for cos(α + β)?
What is the consequence of applying the even-odd identities in the derivation of the formulas for compound angles?
What is the consequence of applying the even-odd identities in the derivation of the formulas for compound angles?
What is the key idea behind the derivation of the formulas for cos(α - β) and cos(α + β)?
What is the key idea behind the derivation of the formulas for cos(α - β) and cos(α + β)?