Final exam information
From UBCMATH WIKI
The following tables contain identities and special triangle trig values that will be provided on the final exam should they be required.
Name | Equation |
---|---|
Law of Cosines | $a^2=b^2+c^2-2bc\cos(\theta)$ |
Trig identities | $\sin^2\theta +\cos^2\theta=1$ |
$\sin(A+B) = \sin(A)\cos(B) + \cos(A)\sin(B)$ | |
$\cos(A+B) = \cos(A)\cos(B) - \sin(A)\sin(B)$ | |
$\tan(\theta) = \dfrac{\sin(\theta)}{\cos(\theta)}$ |
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 |