Area of a circle
πr²
Circumference of a circle equation.
2Ď€r
Supplementary angles
Angles that add up to 180 degrees.
Vertical angles
Angles that are opposite from each other and always equal each other.
A 3-4-5 triangle and it’s multiples (6-8-10, 9-12-15, 15-20-25) can only be used on…
Right triangles.
The 45-45-90 triangle with two equivalent side lengths and a hypotenuse that equals the side length times root 2 is called…
Isosceles right triangle.
The 30-60-90 right triangle.
The length of the short side of the 30-60-90 triangle is…
half the length of the hypotenuse; the hypotenuse is twice as long.
The length of the medium side of the 30-60-90 triangle is…
equal to the length of the short side times root 3.
The length of the hypotenuse of the 30-60-90 triangle is…
twice as long as the length of the short side.
Area of a triangle equation
A = 1/2(bh)
Distance formula
root(x2 - x1)²+(y2-y1)²
Equation of a circle
(x-h)²+(y-k)²=r²
Equation of an eclipse
[(x-h)²/a²]+[(y-k)²/b²]=1
The center of a circle
(h,k)
Cosecant is…
1/sine
Secant is…
1/cosine
Cotangent is…
1/tangent
Sine theta divided by cos theta is equal to…
tan theta
Sine² theta plus cos² theta is equal to…
1
Quadrant I, angle 90 to angle 0, 360 equal to 0, pi/2 contains…
all positive values.
Quadrant II, angle 90 to angle 180 equal to pi contains…
a positive sine ratio
Quadrant III, angle 180 to angle 270, equal to 3pi/2 contains…
a positive tangent ratio.
Quadrant IV, angle 360 to angle 270, equal to 2pi contains…
a positive cosine ratio
In a unit circle, cosine represents the…
x axis.
In a unit circle, sine represents the…
y axis
logba = x is equal to…
b^x = a
In a vector, i indicates…
horizontal change
In a vector, j indicates…
vertical change
Real numbers are…
Numbers that can be represented IRL. ex: 1, 2, .5, 10, 4
Integers are…
Whole numbers from -infinity to +infinity.
Whole numbers are…
Non decimal numbers from 0 to infinity.
Rational numbers are…
Numbers that can be represented as a fraction, including integers and repeating decimals.
Irrational numbers are…
Real numbers that cannot be written as a fraction.