# C2 - Formulae to learn

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## OCR Mathematics Core 2

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 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 $$x \ge 0$$)