Solving equations using angle formulae (HSC SSCE Mathematics Extension 1): Flashcards
📚Flashcards
Practise the cards
10 cards from this deck
ShowHide
Practise the cards
10 cards from this deck
What is the sine angle sum identity?
What is the sine angle sum identity?
sin(A + B) = sin A cos B + cos A sin B
What is the cosine angle sum identity?
What is the cosine angle sum identity?
cos(A + B) = cos A cos B - sin A sin B
What is the sine angle difference identity?
What is the sine angle difference identity?
sin(A - B) = sin A cos B - cos A sin B
What is the cosine angle difference identity?
What is the cosine angle difference identity?
cos(A - B) = cos A cos B + sin A sin B
What is the double angle formula for sine?
What is the double angle formula for sine?
sin(2A) = 2 sin A cos A
What is the double angle formula for cosine?
What is the double angle formula for cosine?
cos(2A) = cos^2 A - sin^2 A
What is the half-angle formula for sine?
What is the half-angle formula for sine?
sin(A/2) = sqrt((1 - cos A)/2)
What is the half-angle formula for cosine?
What is the half-angle formula for cosine?
cos(A/2) = sqrt((1 + cos A)/2)
What type of equations use sine identities?
What type of equations use sine identities?
Equations involving sums or differences of angles.
What is a common error in trigonometric equations?
What is a common error in trigonometric equations?
Mismatching identity applications or simplifications.