Understanding Sum and Difference Identities

What is the ordered pair for point P on the unit circle?

• (1, 0)

• (-1, 0)

• (0, 1)

• (0, -1)

Which angle is represented by the point Q on the unit circle?

• Angle A-B

• Angle B

• Angle B-A

• Angle A

What is the relationship between the chords RP and SQ on the unit circle?

• RP is longer than SQ

• RP and SQ are perpendicular

• RP is shorter than SQ

• RP and SQ are equal

What formula is used to calculate the distance between two points on the unit circle?

• Slope Formula

• Midpoint Formula

• Distance Formula

• Pythagorean Theorem

What is the identity for cosine of A minus B?

• sin(A)cos(B) + cos(A)sin(B)

• sin(A)cos(B) - cos(A)sin(B)

• cos(A)cos(B) - sin(A)sin(B)

• cos(A)cos(B) + sin(A)sin(B)

How does the cosine of a negative angle relate to the cosine of the positive angle?

• It is the square

• It is the reciprocal

• It is the negative

• It is the same

What is the identity for sine of A plus B?

• sin(A)cos(B) + cos(A)sin(B)

• cos(A)cos(B) - sin(A)sin(B)

• cos(A)cos(B) + sin(A)sin(B)

• sin(A)cos(B) - cos(A)sin(B)

What is the identity for sine of A minus B?

• sin(A)cos(B) + cos(A)sin(B)

• cos(A)cos(B) - sin(A)sin(B)

• cos(A)cos(B) + sin(A)sin(B)

• sin(A)cos(B) - cos(A)sin(B)

How do the signs in the sine identities compare to those in the cosine identities?

• They are the same

• They are opposite

• They are doubled

• They are halved

What additional identities can be derived from the sum and difference identities for sine and cosine?

• Cotangent identities

• Secant identities

• Cosecant identities

• Tangent identities