Sum and Difference Formulae
Math ⇒ Trigonometry
Sum and Difference Formulae starts at 11 and continues till grade 12.
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Explain why the sum and difference formulae are important in trigonometry.
State the sum formula for cos(A + B).
Which of the following is NOT a correct sum or difference formula?
(1) sin(A + B) = sinA cosB + cosA sinB
(2) cos(A - B) = cosA cosB + sinA sinB
(3) tan(A + B) = (tanA + tanB) / (1 - tanA tanB)
(4) sin(A - B) = sinA cosB + cosA sinB
Which of the following is the correct formula for cos(A - B)?
(1) cosA cosB - sinA sinB
(2) cosA cosB + sinA sinB
(3) cosA sinB + sinA cosB
(4) cosA sinB - sinA cosB
Which of the following is the correct formula for cos(A - B)?
(1) cosA cosB + sinA sinB
(2) cosA cosB - sinA sinB
(3) cosA sinB + sinA cosB
(4) cosA sinB - sinA cosB
Which of the following is the correct formula for cos(A + B)?
(1) cosA cosB - sinA sinB
(2) cosA cosB + sinA sinB
(3) cosA sinB + sinA cosB
(4) cosA sinB - sinA cosB
Which of the following is the correct formula for sin(A - B)?
(1) sinA cosB + cosA sinB
(2) sinA cosB - cosA sinB
(3) sinA sinB - cosA cosB
(4) sinA sinB + cosA cosB
Which of the following is the correct formula for sin(A + B)?
(1) sinA + sinB
(2) sinA cosB + cosA sinB
(3) sinA cosB - cosA sinB
(4) sinA sinB + cosA cosB
Which of the following is the correct formula for sin(A + B)?
(1) sinA cosB + cosA sinB
(2) sinA cosB - cosA sinB
(3) sinA sinB + cosA cosB
(4) sinA sinB - cosA cosB
Which of the following is the correct formula for tan(A - B)?
(1) (tanA - tanB) / (1 + tanA tanB)
(2) (tanA + tanB) / (1 - tanA tanB)
(3) (tanA tanB - 1) / (tanA + tanB)
(4) (tanA tanB + 1) / (tanA - tanB)
Fill in the blank: cos(A - B) = _________________.
Fill in the blank: cos(A + B) = _________________.
Fill in the blank: sin(A - B) = _________________.
Fill in the blank: sin(A + B) = _________________.
True or False: cos(A - B) = cosA cosB - sinA sinB.
True or False: cos(A + B) = cosA cosB + sinA sinB.
True or False: sin(A - B) = sinA cosB - cosA sinB.
True or False: tan(A - B) = (tanA + tanB) / (1 - tanA tanB).
True or False: tan(A + B) = (tanA + tanB) / (1 - tanA tanB).
True or False: The sum and difference formulae are only valid for angles measured in degrees.
