EOC Review of 7 & 8

Equation of a circle:

How To Find: use completing the square!

Central Angle: measure of CA = measure of Arc

Inscribed Angle: measure of IA = ½ of the measure of arc

Exterior Angle: (Big Arc-Little Arc)/2

Interior Angle: ½(measure of arc CD + measure of arc AB)

Arc Length: portion of circumference

Arc Length: $2\pi r\left(\frac{n}{360}\right)$  

Area of a sector: portion of the area of a circle

Area of Sector:  $\left(\frac{n}{360}\right)\pi r^2$  

Degrees $\rightarrow$ Radians:  $n\degree\ \times\frac{\pi}{180}$  

Radians $\rightarrow$ Degrees:  $n\pi\times\frac{180}{\pi}$  

where  $n\degree\ \&\ n\pi$  are any angles

 $\left(x,\ y\right)=\left(\cos\theta,\ \sin\theta\right)$ A

 $\tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{x}$  

All functions are positive in 2 quadrants &  negative in 2 quadrants

Positive Angles: counterclockwise

Negative Angles: clockwise

 $y=amp\cdot\sin\left(freq\cdot x\right)+midline$  

Amplitude: height of the wave from the midline

Frequency: how many times a wave occurs in $2\pi$  

Period: length of one wave,  $\frac{2\pi}{frequency}$  

Midline: the average line of the wave

Amplitude = $\frac{\max-\min}{2}$  

Midline = $\frac{\max+\min}{2}$  

Frequency =  $\frac{2\pi}{period}$