Difference between revisions of "Final exam information"

Latest revision as of 14:38, 18 August 2017

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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.
+{{Final_exam_information/{{:Current_year}}}}
-{|style="border-collapse: collapse;" class="withlines"
-!style="width: 200px;"|Trig identity
-|-
-|$a^2=b^2+c^2-2bc\cos(\theta)$
-|-
-|$\sin^2\theta +\cos^2\theta=1$
-|-
-|$\sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$
-|-
-|$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$
-|-
-|$\tan(\theta) = \dfrac{\sin(\theta)}{\cos(\theta)}$
-|-
-|}
-{|style="border-collapse: collapse;" class="withlines"
-!colspan=3|Special triangles
-|-
-!style="width: 70px;"|$\theta$
-!style="width: 70px;"|$\sin(\theta)$
-!style="width: 70px;"|$\cos(\theta)$
-|-
-|0
-|0
-|1
-|-
-|$\dfrac{\pi}{6}$
-|$\dfrac{1}{2}$
-|$\dfrac{\sqrt{3}}{2}$
-|-
-|$\dfrac{\pi}{4}$
-|$\dfrac{\sqrt{2}}{2}$
-|$\dfrac{\sqrt{2}}{2}$
-|-
-|$\dfrac{\pi}{3}$
-|$\dfrac{\sqrt{3}}{2}$
-|$\dfrac{1}{2}$
-|-
-|$\dfrac{\pi}{2}$
-|1
-|0
-|}
-{|style="border-collapse: collapse;" class="withlines"
-!colspan=3|Geometric formulae (volume, area)
-|-
-!style="width: 150px;"|Quantity
-!style="width: 150px;"|Formula
-|-
-|Volume of sphere
-|$\dfrac{4}{3} \pi r^3$
-|-
-|Surface area of sphere
-|$4\pi r^2$
-|-
-|Volume of cone
-|$\dfrac{1}{3} \pi r^2h$
-|-
-|Surface area of cone
-|$\pi r s$
-|-
-|
-|
-|}