Difference between revisions of "Final exam information"

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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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===Exam formulae list===
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The following tables contain formulae that will be provided on the final exam should they be required.
  
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!style="width: 200px;"|Trig identity
 
!style="width: 200px;"|Trig identity
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!colspan=3|Special triangles
 
!colspan=3|Special triangles
 
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{|style="border-collapse: collapse;margin: 1em auto 1em auto;text-align:center;" class="withlines"
 
!colspan=3|Geometric formulae (volume, area)
 
!colspan=3|Geometric formulae (volume, area)
 
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Revision as of 16:43, 22 November 2013

Exam formulae list

The following tables contain formulae that will be provided on the final exam should they be required.

Trig identity
$a^2=b^2+c^2-2bc\cos(\theta)$
$\sin^2\theta +\cos^2\theta=1$
$\sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$
$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$
$\tan(\theta) = \dfrac{\sin(\theta)}{\cos(\theta)}$
Special triangles
$\theta$ $\sin(\theta)$ $\cos(\theta)$
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
Geometric formulae (volume, area)
Quantity 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 $\pi r s$