Lessons for F.TF.C.9
Combining a sine and a cosine into one waveA sine term plus a cosine term of the same period is itself one wave with a new amplitude and shift.Lesson
Product to sum and sum to product formulasTurning a product of two trig functions into a sum, which adding the sum and difference formulas produces.Lesson
Sine and tangent of a sum or differenceThe sine versions, which follow from the cosine versions through the cofunction identities.Lesson
Cosine of a sum or differenceThe cosine of two angles added is not the sum of the cosines but a mix of both functions.Lesson
Printable Worksheets
Combining a sine and a cosine into one wave worksheet (PDF)Printable worksheet with answer keyPreview
Product to sum and sum to product formulas worksheet (PDF)Printable worksheet with answer keyPreview
Sine and tangent of a sum or difference worksheet (PDF)Printable worksheet with answer keyPreview
Cosine of a sum or difference worksheet (PDF)Printable worksheet with answer keyPreview