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Universities » University of Wisconsin (UW) » MATH - MATHEMATICS » 171 - Calculus with Algebra and .. » Flash Cards

Trigonometry Stuff - Flashcards

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Class:MATH 171 - Calculus with Algebra and Trigonometry I
Subject:MATHEMATICS
University:University of Wisconsin - Madison
Term:Fall 2010
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cos (x/2) cos (x/2) = ±√[(1+cosx)/2]
sin (x/2) sin (x/2) = ± √[(1-cosx)/2]
tan (x/2) tan (x/2) = (1-cosx)/(sinx) = (sinx)/(1+cosx)
cos (2x) cos (2x) = 1-2sin²x = cos²x-sin²x
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sin (2x) sin (2x) = 2(sinx)(cosx)
tan (2x) tan (2x) = (2tanx)/(1-tan²x)
tan (x) tan (x) = (sinx)/(cosx)
d/dx (tanx) d/dx (tanx) = sec²x
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d/dx (secx) d/dx (secx) = (secx)(tanx)
d/dx (sinx) d/dx (sinx) = cosx
d/dx (cosx) d/dx (cosx) = -sinx
d/dx (cotx) d/dx (cotx) = -csc²x
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d/dx (cscx) d/dx (cscx) = (-cscx)(cotx)
cos (A+B) cos (A+B) = cosAcosB-sinAsinB
sin (A+B) sin (A+B) = sinAcosB+cosAsinB
Law of Cosines c² = a²+b²-2ab(cosC)
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sec(x) sec(x)= 1/cos(x)
csc(x) csc(x)= 1/sin(x)
cot(x) cot(x)= cos(x)/sin(x)
sin²(x) sin²(x) = 1 - cos²(x)
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cos²(x) cos²(x) = 1 - sin²(x)
cos(-x) cos(-x) = cos(x)
sin(-x) sin(-x) = -sin(x)
tan(-x) tan(-x) = -tan(x)
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tan(u+v) tan(u+v) = [tan(u)+tan(v)] / [1-tan(u)tan(v)]
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 cos (x/2)cos (x/2) = ±√[(1+cosx)/2]
 sin (x/2)sin (x/2) = ± √[(1-cosx)/2]
 tan (x/2)tan (x/2) = (1-cosx)/(sinx) = (sinx)/(1+cosx)
 cos (2x)cos (2x) = 1-2sin²x = cos²x-sin²x
 sin (2x)sin (2x) = 2(sinx)(cosx)
 tan (2x)tan (2x) = (2tanx)/(1-tan²x)
 tan (x)tan (x) = (sinx)/(cosx)
 d/dx (tanx)d/dx (tanx) = sec²x
 d/dx (secx)d/dx (secx) = (secx)(tanx)
 d/dx (sinx)d/dx (sinx) = cosx
 d/dx (cosx)d/dx (cosx) = -sinx
 d/dx (cotx)d/dx (cotx) = -csc²x
 d/dx (cscx)d/dx (cscx) = (-cscx)(cotx)
 cos (A+B)cos (A+B) = cosAcosB-sinAsinB
 sin (A+B)sin (A+B) = sinAcosB+cosAsinB
 Law of Cosinesc² = a²+b²-2ab(cosC)
 sec(x)sec(x)= 1/cos(x)
 csc(x)csc(x)= 1/sin(x)
 cot(x)cot(x)= cos(x)/sin(x)
 sin²(x)sin²(x) = 1 - cos²(x)
 cos²(x)cos²(x) = 1 - sin²(x)
 cos(-x)cos(-x) = cos(x)
 sin(-x)sin(-x) = -sin(x)
 tan(-x)tan(-x) = -tan(x)
 tan(u+v)tan(u+v) = [tan(u)+tan(v)] / [1-tan(u)tan(v)]
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