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Trig Formulas
Trigonometric Formulas/ Functions from AP Calc (AB) Exam Workbook 8th Edition
18
Mathematics
Not Applicable
04/24/2011
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Term
sin^2(θ) + cos^2(θ)
 Definition
= 1
Term
1 + tan^2(θ)
 Definition
= sec^2(θ)
Term
1 + cot^2(θ)
 Definition
= csc^2(θ)
Term
sin(-θ)
 Definition
= -sin(θ)
Term
cos(-θ)
 Definition
= cos(θ)
Term
tan(-θ)
 Definition
= -tan(θ)
Term
sin(A+B)
 Definition
= sinAcosB + sinBcosA
Term
sin(A-B)
 Definition
= sinAcosB - sinBcosA
Term
cos(A+B)
 Definition
= cosAcosB - sinAsinB
Term
cos(A-B)
 Definition
= cosAcosB + sinAsinB
Term
sin2θ
 Definition
= 2sinθcosθ
Term
cos2θ
 Definition
= cos^2(θ) - sin^2(θ)
= 2cos^2(θ) - 1
= 1 - 2sin^2(θ)
Term
tanθ
 Definition
= (sinθ)/cosθ)
= 1/(cotθ)
Term
cotθ
 Definition
= (cosθ)/(sinθ)
= 1/(tanθ)
Term
secθ
 Definition
= 1/(cosθ)
Term
cscθ
 Definition
= 1/(sinθ)
Term
cos(π/2 - θ)
 Definition
= sinθ
Term
sin(π/2 - θ)
 Definition
= cosθ
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