Sum Difference Double Half Angle Trig Formulas

Front

What is the formula for sin(u - v)?

Back

sin(u - v) = (sinu)(cosv) - (cosu)(sinv)

Tags

CCSS.HSF.TF.C.9

Front

What is the formula for tan(u - v)?

Back

tan(u - v) = (tanu - tanv) / (1 + (tanu)(tanv))

Tags

CCSS.HSF.TF.C.9

Front

What is the formula for cos(u - v)?

Back

cos(u - v) = (cosu)(cosv) + (sinu)(sinv)

Tags

CCSS.HSF.TF.C.9

Front

What is the formula for sin(u + v)?

Back

sin(u + v) = (sinu)(cosv) + (cosu)(sinv)

Tags

CCSS.HSF.TF.C.9

Front

What is the formula for tan(u + v)?

Back

tan(u + v) = (tanu + tanv) / (1 - (tanu)(tanv))

Tags

CCSS.HSF.TF.C.9

Front

What is the formula for cos(u + v)?

Back

cos(u + v) = (cosu)(cosv) - (sinu)(sinv)

Tags

CCSS.HSF.TF.C.9

Front

Define the term 'Double Angle Formula' in trigonometry.

Back

Double Angle Formulas express trigonometric functions of double angles (2u) in terms of single angles (u). For example, sin(2u) = 2sin(u)cos(u).

Tags

CCSS.HSF.TF.C.9

Front

What is the Half Angle Formula for sine?

Back

sin(u/2) = ±√((1 - cos(u))/2) depending on the quadrant.

Tags

CCSS.HSF.TF.C.9

Front

What is the Half Angle Formula for cosine?

Back

cos(u/2) = ±√((1 + cos(u))/2) depending on the quadrant.

Tags

CCSS.HSF.TF.C.9

Front

What is the relationship between sine and cosine in the context of the unit circle?

Back

On the unit circle, sin(θ) is the y-coordinate and cos(θ) is the x-coordinate of the point corresponding to the angle θ.

Tags

CCSS.HSF.TF.A.2