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− | The following tables contain identities and special triangle trig values that will be provided on the final exam should they be required.
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− | ----
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− | {|style="border-collapse: collapse;margin: 1em auto 1em auto;text-align:center;" class="withlines" | + | |
− | !style="width: 200px;"|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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− | |-
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− | |$\tan(\theta) = \dfrac{\sin(\theta)}{\cos(\theta)}$
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− | |}
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− | ----
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− | {|style="border-collapse: collapse;" class="withlines" | + | |
− | !colspan=3|Special triangles
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− | !style="width: 70px;"|$\theta$
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− | !style="width: 70px;"|$\sin(\theta)$
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− | !style="width: 70px;"|$\cos(\theta)$
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− | |-
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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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− | |-
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− | |$\dfrac{\pi}{2}$
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− | |1
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− | |0
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− | |}
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− | {|style="border-collapse: collapse;" class="withlines"
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− | !colspan=3|Geometric formulae (volume, area)
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− | !style="width: 150px;"|Quantity
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− | !style="width: 150px;"|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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− | |-
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− | |Surface area of cone
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− | |$\pi r s$
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− | |-
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− | |}
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Latest revision as of 14:38, 18 August 2017
Template:Final exam information/2018