C2 - Formulae to learn

Tech Wilkinson
Flashcards by , created over 5 years ago

OCR Mathematics Core 2

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Tech Wilkinson
Created by Tech Wilkinson over 5 years ago
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Question Answer
sine rule \(\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\)
cosine rule \(a^2 = b^2 + c^2 - 2 b c \cos A\)
area of triangle Area \(= \frac{1}{2} b c \sin A\)
remainder when polynomial \(f(x)\) divided by \((x-a)\) \(f(a)\)
\(a^b=c\) \(b=\log_ac\)
\(\log_ax+\log_ay\) \(\log_a(xy)\)
\(\log_ax-\log_ay\) \(\log_a\big(\frac{x}{y}\big)\)
\(k\log_ax\) \(\log_a(x^k)\)
\(\tan\theta\) \(\frac{\sin\theta}{\cos\theta}\)
\(\cos^2\theta+\sin^2\theta\) 1
\(\pi\) radians \(180^\circ\)
area of sector A \( =\frac{1}{2}r^2\theta\)
\(\int x^n dx\) (\(n \neq -1\)) \(\frac{1}{n+1}x^{n+1}+c\)
\(\int \Big( f'(x) + g'(x) \Big) dx\) \(f(x) + g(x) + c\)
area between curve, x-axis and points \(a\) \(b\) \(\int\limits_a^b y dx \) (when \(y \ge 0\))
area between curve, y-axis and points \(c\) \(d\) \(\int\limits_c^d x dy \) (when \(x \ge 0\))