Unit Circle1
What is the equation of the unit circle?
What is the equation of the unit circle?
x2 + y2 = 1
sin =
cos =
tan =
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
You know what seems odd to me?
You know what seems odd to me?
Numbers that can't be divided by 2
What is the equation of any circle?
What is the equation of any circle?
(x - h)2 + (y - k)2 = r2
center: (h, k)
radius: r
Which trig function represents x?
Which trig function represents y?
On the unit circle, for coordinate points (x, y),
Which trig function represents x? cos
Which trig function represents y? sin
Why was the equal sign so humble?
Why was the equal sign so humble?
He knew he wasn't greater than or less than anyone else.
Therefore, to convert degrees to radians, take degrees * _________ = radians
There are 360 degrees in a circle and 2Pi radians.
Therefore, to convert degrees to radians, take degrees * (Pi/180) = radians
sec(x) =
csc(x) =
tan(x) =
sec(x) = hypotenuse/adjacent
csc(x) = hypotenuse/opposite
tan(x) = adjacent/opposite
Are monsters good at math?
Are monsters good at math?
Not unless you Count Dracula
cos(5pi/3) =
sin(5pi/3) =
cos(5pi/3) = 1/2
sin(5pi/3) = -sqrt(3)/2
What is the domain and range of sin(x) and cos(x)?
What is the domain and range of sin(x) and cos(x)?
Domain: all real numbers
Range: [-1, 1]
Why was the math book sad?
Why was the math book sad?
Because it had too many problems.
sin(-19pi/6) =
cos(-19pi/6) =
sin(-19pi/6) = 1/2
cos(-19pi/6) = -sqrt(3)/2
What is the domain and range of tan(x)?
What is the domain and range of tan(x)?
Domain: all real numbers such that x != Pi/2 +/- Pi*n, where n is an integer.
Range: all real numbers
What do you get when you cross a calculator with a friend?
What do you get when you cross a calculator with a friend?
Someone you can count on.