The following tables contain identities and special triangle trig values that will be provided on the final exam should they be required.
Trig identity
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$a^2=b^2+c^2-2bc\cos(\theta)$
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$\sin^2\theta +\cos^2\theta=1$
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$\sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$
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$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$
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$\tan(\theta) = \dfrac{\sin(\theta)}{\cos(\theta)}$
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Special triangles
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$\theta$
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$\sin(\theta)$
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$\cos(\theta)$
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0
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0
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1
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$\dfrac{\pi}{6}$
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$\dfrac{1}{2}$
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$\dfrac{\sqrt{3}}{2}$
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$\dfrac{\pi}{4}$
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$\dfrac{\sqrt{2}}{2}$
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$\dfrac{\sqrt{2}}{2}$
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$\dfrac{\pi}{3}$
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$\dfrac{\sqrt{3}}{2}$
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$\dfrac{1}{2}$
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$\dfrac{\pi}{2}$
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1
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0
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Geometric formulae (volume, area)
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Quantity
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Formula
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Volume of sphere
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$\dfrac{4}{3} \pi r^3$
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Surface area of sphere
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$4\pi r^2$
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Volume of cone
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$\dfrac{1}{3} \pi r^2h$
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Surface area of cone
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$\pi r s$
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