Sum and Difference Formulas

Front

What is the cosine of the sum of two angles formula?

Back

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

Tags

CCSS.HSF.TF.C.9

Front

What is the sine of the sum of two angles formula?

Back

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

Tags

CCSS.HSF.TF.C.9

Front

What is the tangent of the sum of two angles formula?

Back

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

Tags

CCSS.HSF.TF.C.9

Front

What is the cosine of the difference of two angles formula?

Back

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

Tags

CCSS.HSF.TF.C.9

Front

What is the sine of the difference of two angles formula?

Back

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

Tags

CCSS.HSF.TF.C.9

Front

What is the tangent of the difference of two angles formula?

Back

tan(A - B) = (tan(A) - tan(B)) / (1 + tan(A)tan(B))

Tags

CCSS.HSF.TF.C.9

Front

How can you express cos(175)cos(55) + sin(175)sin(55) using a sum formula?

Back

cos(175)cos(55) + sin(175)sin(55) = cos(175 - 55) = cos(120)

Tags

CCSS.HSF.TF.C.9