Barrons AP Calculus - David Bock

(dmanu) #1

  1. Circle: C = 2πr, A = πr^2.

  2. Circular sector:

  3. Circular arc: l = rθ.

  4. Cylinder:

  5. Cone:

  6. Sphere:


TRIGONOMETRY

BASIC IDENTITIES


  1. sin^2 θ + cos^2 θ = 1.

  2. 1 + tan^2 θ = sec^2 θ.

  3. 1 + cot^2 θ = csc^2 θ.


SUM AND DIFFERENCE FORMULAS


  1. sin (α ± β) = sin α cos β ± cos α sin β.

  2. cos (α ± β) = cos α cos β sin α sin β.




DOUBLE-ANGLE FORMULAS


  1. sin 2α = 2 sin α cos α.

  2. cos 2α = cos^2 α − sin^2 α = 2 cos^2 α − 1 = 1 − 2 sin^2 α.




HALF-ANGLE FORMULAS
22.






REDUCTION FORMULAS


  1. sin (−α) = −sin α: cos (−α) = cos α.

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