Core 3 Equations

Description

A-level Maths (Core 3) Flashcards on Core 3 Equations, created by declanlarkins on 20/01/2014.
declanlarkins
Flashcards by declanlarkins, updated more than 1 year ago
declanlarkins
Created by declanlarkins over 10 years ago
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Resource summary

Question Answer
sec \(\theta\) = \(\frac{1}{cos\theta}\)
cosec\(\theta\) = \(\frac{1}{sin\theta}\)
cot\(\theta\) = \(\frac{1}{tan\theta}\)
\(sec^2\)\(\theta\) = 1 + \(tan^2\)\(\theta\)
\(cosec^2\)\(\theta\) = 1 + \(cot^2\)\(\theta\)
sin2A = 2sinAcosA
cos2A = \(cos^2\)A - \(sin^2\)A
cos2A = 2\(cos^2\)A - 1
cos2A = 1 - 2\(sin^2\)A
tan2A = \(\frac{2tanA}{1-tan^2A}\)
Differentiate y=\(e^{kx}\) \(\frac{dy}{dx}\) = k\(e^{kx}\)
\(\frac{1}{cos\theta}\) = sec \(\theta\)
\(\frac{1}{sin\theta}\) = cosec\(\theta\)
\(\frac{1}{tan\theta}\) = cot\(\theta\)
1 + \(tan^2\)\(\theta\) = \(sec^2\)\(\theta\)
1 + \(cot^2\)\(\theta\) = \(cosec^2\)\(\theta\)
2sinAcosA = sin2A
\(cos^2\)A - \(sin^2\)A = cos2A
2\(cos^2\)A - 1 = cos2A
1 - 2\(sin^2\)A = cos2A
\(\frac{2tanA}{1-tan^2A}\) = tan2A
\(\int\)k\(e^{kx}\)\(dx\) y=\(e^{kx}\)
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