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Addition, Subtraction, and Double Angle Formulas

10th Grade · Math · CCSS

11 lessons

Goal

Prove and apply the addition and subtraction formulas for sine, cosine, and tangent, and use them to derive and apply the double angle formulas.

11 lessons
0 of 11 done
  1. The Addition Formula for Sine: sin(a + b)Up next
  2. The Addition Formula for Cosine: cos(a + b)Not started yet
  3. The Addition Formula for Tangent: tan(a + b)Not started yet
  4. The Subtraction Formula for Sine: sin(a − b)Not started yet
  5. The Subtraction Formula for Cosine: cos(a − b)Not started yet
  6. The Subtraction Formula for Tangent: tan(a − b)Not started yet
  7. Proving the Addition and Subtraction FormulasNot started yet
  8. Using Addition Formulas to Evaluate Trigonometric ExpressionsNot started yet
  9. Using Subtraction Formulas to Evaluate Trigonometric ExpressionsNot started yet
  10. Deriving Double Angle Formulas from Addition FormulasNot started yet
  11. Trigonometric Identities and Formulas: Mixed PracticeYou are here
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Learning standards covered

usHSF.TF.C.8Common Core State Standards · Math · 10th Grade

Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

Open Global Standard:OGM.12.TRG.3
usHSF.TF.C.9Common Core State Standards · Math · 10th Grade

(+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

Open Global Standard:OGM.12.TRG.3
GlobalOGM.12.TRG.3
GlobalOGM.12.TRG.3