APPENDIX C
Mathematical Formulas
C.1 Trigonometric Identities
- sin ( −α) = −sin α
- cos ( −α) = cos α
- sin α = cos (α − 90°) = −cos (α + 90°)
- cos α = −sin (α − 90°) = sin (α + 90°)
- sin α = −sin (α ± 180°)
- cos α = −cos (α ± 180°)
- sin (α ± β) = sin α cos β ± cos α sin β
- sin 2α = 2 sin α cos α
- cos 2α = cos2α − sin2α
- 2 sin α sin β = cos (α − β) − cos (α + β)
- 2 sin α cos β = sin (α + β) + sin (α − β)
- 2 cos α cos β = cos (α + β) + cos (α − β)
- 2 sin2α = 1 − cos 2α
- 2 cos2α = 1 + cos 2α
- sin2α + cos2α = 1
C.2 Derivatives
The letters u and v represent functions of x, whereas a, b, and m are constants.
C.3 Indefinite Integrals
The letters u and v represent functions of x, whereas a and b are constants. ...
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