Summer Studying Flashcards
Trignometric Identity
sec(x)
1/cos(x)
Trignometric Identity
csc(x)
1/sin(x)
Trignometric Identity
cot(x)
Inverse Terms
1/tan(x)
Trignometric Identity
tan(x)
Trig Identity
sin(x)/cos(x)
Trignometric Identity
cot(x)
Sin and cos terms
cos(x)/sin(x)
Trignometric Identity
cos²(x) + sin²(x)
1
Trignometric Identity
1+tan²x
sec²x
Trignometric Identity
sec²x
1+tan²x
Trignometric Identity
1+cot²(x)
csc²(x)
Trignometric Identity
csc²(x)
1 + tan²(x)
Trignometric Identity
sin(2x)
2sin(x)cos(x)
Trignometric Identity
2sin(x)cos(x)
sin(2x)
Trignometric Identity
cos(2x)
cos²(x) - sin²(x)
Trignometric Identity
cos²(x) - sin²(x)
cos(2x)
Trignometric Identity
cos²(x)
cos 2x terms
½(1+ cos(2x))
Trignometric Identity
½(1+ cos(2x))
cos²(x)
Trignometric Identity
sin²x
cos 2x terms
½(1-cos(2x))
Trignometric Identity
½(1-cos(2x))
sin²(x)
Trignometric Identity
1/cos(x)
sec(x)
Trignometric Identity
1/sin(x)
csc(x)
Trignometric Identity
1/tan(x)
cot(x)
Trignometric Identity
sin(x)/cos(x)
tan(x)
Trignometric Identity
cot(x)
cos and sin terms
cos(x)/sin(x)
Graph Form
Slope-Intercept Form
y = mx + b
Graph Form
Point-Slope Form
y - y₁ = m(x - x₁)
Normal line is ______ to tangent line
Perpendicular
____ line is perpendicular to tangent line
Normal
Normal line is perpendicular to ____ line
Tangent
f(x) = f(-x)
Even function
Even function criteria
f(x) = f(-x)
f(-x) = -f(x)
Odd function
Odd function criteria
f(-x) = -f(x)
Exponents
a⁰ when a ≉ 0
1
Exponents
a¹
a
Exponents
a^m × a^n
a^m+n
Logarithms
log(base b) x = y
y^b = x
Exponents
a^m/a^n
a^m-n
Exponents
a^m/n
(nth root of a)^m
Exponents
(a^m)^n
a^mn
Exponents
a^m/n
nth root of (a^m)
Exponents
a^-m when a ≉ 0
1/a^m
Logarithms
b^y = x (turn to log)
log (base b) x = y
Area/Volume
Area of a Triangle
A = ½bh
Area/Volume
Area of an equilateral triangle
A = (√3 / 4) s²
Area/Volume
Area of a Circle
A = πr^2
Area/Volume
Circumference of a circle
C = 2πr or C = πd
Area/Volume
Volume of a sphere
V = (4/3)πr³
Area/Volume
Surface Area of a sphere
4πr²
Area/Volume
Volume of a cylinder
V = πr²h
Area/Volume
Volume of a cone
V = (π/3)r²h
Logarithms
log (base b) 1
0
Logarithms
log (base b) b
1
Logarithms
log (base b) mn
log (base b) m + log (base b) n
Logarithms
log (base b) m + log (base b) n
log (base b) mn
Logarithms
log (base b) m/n
log (base b) m - log (base b) n
Logarithms
log (base b) m - log (base b) n
log (base b) m/n
Logarithms
log (base b) m^n
n log (base b) m
Logarithms
n log (base b) m
log (base b) m^n
Logarithms
e^ln(x)
x
Logarithms
ln e^x
x
Logarithms
log (base b) x
log x / log b
Logarithms
log (base b) b^a
a
Logarithms
b^log (base b) a
a
Degrees and Radians
0 degrees in radians
0
Degrees and Radians
30 degrees in radians
π/6
Degrees and Radians
45 degrees in radians
π/4
Degrees and Radians
60 degrees in radians
π/3
Degrees and Radians
90 degrees in radians
π/2
Degrees and Radians
120 degrees in radians
2π/3
Degrees and Radians
135 degrees in radians
3π/4
Degrees and Radians
150 degrees in radians
5π/6
Degrees and Radians
180 degrees in radians
π
Degrees and Radians
210 degrees in radians
7π/6
Degrees and Radians
225 degrees in radians
5π/4
Degrees and Radians
240 degrees in radians
4π/3
Degrees and Radians
270 degrees in radians
3π/2
Degrees and Radians
300 degrees in radians
5π/3
Degrees and Radians
315 degrees in radians
7π/4
Degrees and Radians
330 degrees in radians
11π/6
Degrees and Radians
360 degrees in radians
2π
Trignometric Functions
sin(0)
0
Trignometric Functions
cos(0)
1
Trignometric Functions
tan(0)
0
Trignometric Functions
cot(0)
Undefined
Trignometric Functions
sec(0)
1
Trignometric Functions
csc(0)
Undefined
Trignometric Functions
sin(30)
½
Trignometric Functions
cos(30)
√3/2
Trignometric Functions
tan(30)
√3/3
Trignometric Functions
cot(30)
√3
Trignometric Functions
sec(30)
2√3 /3
Trignometric Functions
csc(30)
2
Trignometric Functions
sin(45)
√2 /2
Trignometric Functions
cos(45)
√2 /2
Trignometric Functions
tan(45)
1
Trignometric Functions
cot(45)
1
Trignometric Functions
sec(45)
√2
Trignometric Functions
csc(45)
√2
Trignometric Functions
sin(60)
√3 /2
Trignometric Functions
cos(60)
½
Trignometric Functions
tan(60)
√3
Trignometric Functions
cot(60)
√3 /3
Trignometric Functions
sec(60)
2
Trignometric Functions
csc(60)
2√3 /3
Trignometric Functions
sin(90)
1
Trignometric Functions
cos(90)
0
Trignometric Functions
tan(90)
Undefined
Trignometric Functions
cot(90)
0
Trignometric Functions
sec(90)
Undefined
Trignometric Functions
csc(90)
1
Trignometric Functions
sin(120)
√3 /2
Trignometric Functions
cos(120)
-½
Trignometric Functions
tan(120)
−√3
Trignometric Functions
cot(120)
-√3 /3
Trignometric Functions
sec(120)
-2
Trignometric Functions
csc(120)
2√3 /3
Trignometric Functions
sin(135)
√2 /2
Trignometric Functions
cos(135)
-√2 /2
Trignometric Functions
tan(135)
-1
Trignometric Functions
cot(135)
-1
Trignometric Functions
sec(135)
−√2
Trignometric Functions
csc(135)
√2
Trignometric Functions
sin(150)
½
Trignometric Functions
sin(150)
-√3 /2
Trignometric Functions
tan(150)
−√3 /3
Trignometric Functions
cot(150)
−√3
Trignometric Functions
sec(150)
-2√3 /3
Trignometric Functions
csc(150)
2
Trignometric Functions
sin(180)
0
Trignometric Functions
cos(180)
-1
Trignometric Functions
tan(180)
0
Trignometric Functions
cot(180)
Undefined
Trignometric Functions
sec(180)
-1
Trignometric Functions
csc(180)
Undefined
Trignometric Functions
sin(210)
-½
Trignometric Functions
cos(210)
−√3 /2
Trignometric Functions
tan(210)
√3 /3
Trignometric Functions
cot(210)
√3
Trignometric Functions
sec(210)
−2√3 /3
Trignometric Functions
csc(210)
-2
Trignometric Functions
sin(225)
−√2 /2
Trignometric Functions
cos(225)
-√2 /2
Trignometric Functions
tan(225)
1
Trignometric Functions
cot(225)
1
Trignometric Functions
sec(225)
-√2
Trignometric Functions
csc(225)
−√2
Trignometric Functions
sin(240)
−√3 /2
Trignometric Functions
cos(240)
−½
Trignometric Functions
tan(240)
√3
Trignometric Functions
cot(240)
√3 /3
Trignometric Functions
sec(240)
-2
Trignometric Functions
csc(240)
-2√3 /3
Trignometric Functions
sin(270)
-1
Trignometric Functions
cos(270)
0
Trignometric Functions
tan(270)
Undefined
Trignometric Functions
cot(270)
0
Trignometric Functions
sec(270)
Undefined
Trignometric Functions
csc(270)
-1
Trignometric Functions
sin(300)
-√3 /2
Trignometric Functions
cos(300)
½
Trignometric Functions
tan(300)
−√3
Trignometric Functions
cot(300)
-√3 /3
Trignometric Functions
sec(300)
2
Trignometric Functions
csc(300)
-2√3 /3
Trignometric Functions
sin(315)
-√2 /2
Trignometric Functions
cos(315)
√2 /2
Trignometric Functions
tan(315)
-1
Trignometric Functions
cot(315)
-1
Trignometric Functions
sec(315)
√2
Trignometric Functions
csc(315)
−√2
Trignometric Functions
sin(330)
−½
Trignometric Functions
cos(330)
√3 /2
Trignometric Functions
tan(330)
-√3 /3
Trignometric Functions
cot(330)
-√3
Trignometric Functions
sec(330)
2√3 /3
Trignometric Functions
csc(330)
-2
Trignometric Functions
sin(360)
0
Trignometric Functions
cos(360)
1
Trignometric Functions
tan(360)
0
Trignometric Functions
cot(360)
Undefined
Trignometric Functions
sec(360)
1
Trignometric Functions
csc(360)
Undefined
Graph
y = x
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = x²
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = x³
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = √x
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = ln(x)
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = e^x
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = 1/x
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = 1/x²
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = |x|
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = sin(x)
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = cos(x)
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = tan(x)
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = x^2/3
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = √r²−x²
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = arctan(x)
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = |x|/ x
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = 1/x²+1
https://www.desmos.com/calculator/im3po2ccyg
Graph
y = ½(e^x + e^-x) or y = cosh(x)
https://www.desmos.com/calculator/uzh0ugjrdi
Graph
f(x) = [x]
Step Function
