Difference between revisions of "Final exam information"
From UBCMATH WIKI
Line 1: | Line 1: | ||
− | The following tables contain | + | ===Exam formulae list=== |
+ | The following tables contain formulae that will be provided on the final exam should they be required. | ||
− | |||
{|style="border-collapse: collapse;margin: 1em auto 1em auto;text-align:center;" class="withlines" | {|style="border-collapse: collapse;margin: 1em auto 1em auto;text-align:center;" class="withlines" | ||
!style="width: 200px;"|Trig identity | !style="width: 200px;"|Trig identity | ||
Line 16: | Line 16: | ||
|- | |- | ||
|} | |} | ||
− | + | ||
− | {|style="border-collapse: collapse;" class="withlines" | + | {|style="border-collapse: collapse;margin: 1em auto 1em auto;text-align:center;" class="withlines" |
!colspan=3|Special triangles | !colspan=3|Special triangles | ||
|- | |- | ||
Line 45: | Line 45: | ||
|} | |} | ||
− | {|style="border-collapse: collapse;" class="withlines" | + | {|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) | ||
|- | |- |
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 | $\pi r s$ | |