Identities Flashcards
(19 cards)
What is the value of sin(nm) when nm = 0?
sin(nm) = 0
What is the value of cos(nT) when n is an integer?
cos(nT) = (-1)
where n ∈ I
What is the formula for sin(A + B)?
sin(A + B) = sin A cos B + cos A sin B
What is the formula for sin(A - B)?
sin(A - B) = sin A cos B - cos A sin B
What is the formula for cos(A + B)?
cos(A + B) = cos A cos B - sin A sin B
What is the formula for cos(A - B)?
cos(A - B) = cos A cos B + sin A sin B
What is the formula for tan(A + B)?
tan(A + B) = \frac{tan A + tan B}{1 - tan A tan B}
What is the formula for tan(A - B)?
tan(A - B) = \frac{tan A - tan B}{1 + tan A tan B}
What is the formula for cot(A + B)?
cot(A + B) = \frac{cot A cot B - 1}{cot A + cot B}
What is the formula for cot(A - B)?
cot(A - B) = \frac{cot A cot B + 1}{cot B - cot A}
What is the formula for sin(A + B) + sin(A - B)?
sin(A + B) + sin(A - B) = 2 sin A cos B
What is the formula for 2 cos A cos B?
2 cos A cos B = cos(A + B) + cos(A - B)
What is the formula for 2 sin A sin B?
2 sin A sin B = cos(A - B) - cos(A + B)
What is the formula for sin C + sin D?
sin C + sin D = 2 sin A cos B
What is the formula for sin C - sin D?
sin C - sin D = 2 cos A sin B
What is the formula for cos C + cos D?
cos C + cos D = 2 cos A cos B
What is the formula for cos C - cos D?
cos C - cos D = 2 sin A sin B
What is the formula for sin(2θ)?
sin(2θ) = 2 sin θ cos θ
What is the formula for tan(θ)?
tan(θ) = \frac{sin(θ)}{cos(θ)}
