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Level 488

Precalculus III


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sin(x+B)=
sin(x)cos(b)+cos(b)sin(x)
sin(x-B)
sin(x)cos(b)-cos(b)sin(x)
cos(x+B)
cos(x)cos(b)-sin(x)sin(b)
cos(x-B)
cos(x)cos(b)+sin(x)sin(b)
tan(x+B)
tan(x)+tan(B)/1-tan(x)+tan(B)
tan(x-B)
tan(x)-tan(B)/1+tan(x)tan(B)
sin2x
2sin(x)cos(x)
cos(2x)
cos^2x-sin^2x=1-2sin^x=2cos^2-1
tan(2x)
2tan(x)/1-tan^2x
sin(x/2)
+-squareroot1-cos(x)/2
cos(x/2)
+-squareroot1+cos/2
tan(x/2)
+-squareroot1-cosx/1+cosx
sin(x)+sin(y)
2sin(x+y/2)cos(x-y/2)
sin(x)-sin(y)
2cos(x+y/2)sin(x-y/2)
cos(x)+cos(y)
2cos(x+y/2)cos(x-y/2)
cos(x)-cos(y)
-2sin(x+y/2)sin(x-y/2)
sin(x)cos(y)
1/2(sin(x+y)+sin(x-y)
cos(x)sin(y)
1/2(sin(x+y)-sin(x-y)
cos(x)cos(y)
1/2cos(x-y)+cos(x+y)
Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
a²+b²=c²
Pythagorean Theorem
midpoint formula
a point written as an ordered pair: ((x₁+x₂)/2, (y₁+y₂)/2)
(a+b)²
a²+2ab+b²
equilateral triangle
A triangle with three congruent sides
A = πr²
Area of a circle
C = 2πr
Circumference of a circle
y-y₁=m(x-x₁)
Point-Slope form
slope
m = (y₂-y₁)/(x₂-x₁)
Slope-Intercept Form
y = mx + b
A=1/2bh
Area of a triangle
(f(x+h)-f(x))/h
Difference Quotient
Quadratic Formula
x = [-b ± √(b² - 4ac)] / (2a)
Exponent Rule
add them: (x³)(x⁴) = x^(³+⁴) = x⁷
difference of two squares
a² - b² = (a + b)(a - b)