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Study sets matching "ap calculus trig"

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Study sets matching "ap calculus trig"

41 terms
Essential Trigonometry for AP Calculus AB
sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sin(θ) =
cos(θ) =
12 terms
AP Calculus Trigonometry
sin(a+b)
sin(a-b)
cos(a+b)
cos(a-b)
sinacosb+cosasinb
sinacosb-cosasinb
cosacosb-sinasinb
cosacosb+sinasinb
sin(a+b)
sinacosb+cosasinb
sin(a-b)
sinacosb-cosasinb
33 terms
AP Calculus AB Trigonometry
d/dx (tan(x))
d/dx (cos(x))
d/dx (sin(x))
d/dx (csc(x))
sec^2(x)
-sin(x)
cos(x)
-csc(x)cot(x)
d/dx (tan(x))
sec^2(x)
d/dx (cos(x))
-sin(x)
17 terms
AP Calculus AB Trigonometry Identities
Pythagorean 1
Pythagorean 2
Pythagorean 3
sin(A+B)
sin^2(x) + cos^2(x) = 1
1 + cot^2(x) = csc^2(x)
1 + tan^2(x) = sec^2(x)
sinA cosB + cosA sinB
Pythagorean 1
sin^2(x) + cos^2(x) = 1
Pythagorean 2
1 + cot^2(x) = csc^2(x)
17 terms
AP Calculus AB Trigonometry Identities
Pythagorean 1
Pythagorean 2
Pythagorean 3
sin(A+B)
sin^2(x) + cos^2(x) = 1
1 + cot^2(x) = csc^2(x)
1 + tan^2(x) = sec^2(x)
sinA cosB + cosA sinB
Pythagorean 1
sin^2(x) + cos^2(x) = 1
Pythagorean 2
1 + cot^2(x) = csc^2(x)
43 terms
Calculus - Trigonometry
sin (x+y)
cos (x+y)
tan (x+y)
sin² + cos² =
sin(x)cos(y) + cos(x)sin(y)
cos(x)cos(y) - sin(x)sin(y)
( tan(x) + tan(y) ) / ( 1 - tan(x)tan(y) )
1
sin (x+y)
sin(x)cos(y) + cos(x)sin(y)
cos (x+y)
cos(x)cos(y) - sin(x)sin(y)
6 terms
TRIGONOMETRY STUFF WE NEED TO KNOW AP CALCULUS
sin²x+cos²x
1+tan²x
1+cot²x
sin²u
1
sec²x
csc²x
(1-cos2u)/2
sin²x+cos²x
1
1+tan²x
sec²x
19 terms
Calculus Trigonometry
integral of cosxdx
integral of sinxdx
integral of sec^2xdx
integral of csc^2xdx
sinx + C
-cosx + C
tanx + C
-cotx + C
integral of cosxdx
sinx + C
integral of sinxdx
-cosx + C
10 terms
Trigonometry review for Pre-Calculus
hypotenuse
opposite
sine
cosine
the side of the triangle opposite the right angle
the side opposite the labelled angle
opposite over hypotenuse
adjacent over hypotenuse
hypotenuse
the side of the triangle opposite the right angle
opposite
the side opposite the labelled angle
49 terms
Calculus - Trigonometry
Basic Trigonometric Ratios
sin (x+y)
cos(x+y)
tan(x+y)
sin(x)cos(y) + cos(x)sin(y)
cos(x)cos(y) - sin(x)sin(y)
( tan(x) + tan(y) ) / ( 1 - tan(x)tan(y) )
Basic Trigonometric Ratios
sin (x+y)
sin(x)cos(y) + cos(x)sin(y)
25 terms
Calculus and Trigonometry
d/dx sin(x)
d/dx cos(x)
d/dx tan(x)
d/dx sec(x)
cos(x)
-sin(x)
sec^2(x)
sec(x)tan(x)
d/dx sin(x)
cos(x)
d/dx cos(x)
-sin(x)
75 terms
Trigonometry & Calculus ch 1
1
cos²x
sin²x
sec²x
cos²x+sin²x=
1 - sin²x =
1 - cos²x =
1+tan²x=
1
cos²x+sin²x=
cos²x
1 - sin²x =
25 terms
Pre-Calculus/Trigonometry Review #1
sin(0)
sin(π/2)
sin(π/4)
sin(π/3)
0
½
√2/2
√3/2
sin(0)
0
sin(π/2)
½
10 terms
AP CALCULUS
Derivative
Implicit differentiation
tangent
Secant
A function which gives the slope of a curve; that is, the slo…
The process of finding the derivative of a dependent variable…
A straight line or plane that touches a curve or curved surfa…
A secant is a line that intersects a circle at two points.
Derivative
A function which gives the slope of a curve; that is, the slo…
Implicit differentiation
The process of finding the derivative of a dependent variable…
21 terms
Trigonometry for Calculus BC
sin²(x)
cos²(x)
sec²(x)
tan²(x)
1-cos²(x)
1-sin²(x)
1+tan²(x)
sec²(x)-1
sin²(x)
1-cos²(x)
cos²(x)
1-sin²(x)
16 terms
Pre Calculus - Trigonometry Identities
cos (α+β)=
cos (α-β)=
sin (α+β)=
sin (α-β)=
cos α cos β - sin α sin β
cos α cos β + sin α sin β
sin α cos β + cos α sin β
sin α cos β - cos α sin β
cos (α+β)=
cos α cos β - sin α sin β
cos (α-β)=
cos α cos β + sin α sin β
Pre Calculus: Encorporating Trigonometry
Law of Sines
Law of Cosines
Finding tangent, cotangent, cosecant,…
Unit Circle
tangent = sine/ cosine... cotangent = 1 / tangent or cosine / si…
(Tip: degrees count 30-15-15-30)
Law of Sines
Law of Cosines
114 terms
Trigonometry & Calculus ch 1-5
1
cos²x
sin²x
sec²x
cos²x+sin²x=
1 - sin²x =
1 - cos²x =
1+tan²x=
1
cos²x+sin²x=
cos²x
1 - sin²x =
18 terms
Calculus Trigonometry Index
πrad=180°
1rad=(180/π)° 1°=(π/180)rad
30°
Angles can be measured in degrees or radians. The angle given…
...
0
π/6
πrad=180°
Angles can be measured in degrees or radians. The angle given…
1rad=(180/π)° 1°=(π/180)rad
...
89 terms
Trigonometry & Calculus ch 1-2
1
cos²x
sin²x
sec²x
cos²x+sin²x=
1 - sin²x =
1 - cos²x =
1+tan²x=
1
cos²x+sin²x=
cos²x
1 - sin²x =
96 terms
Trigonometry & Calculus ch 1-4
1
cos²x
sin²x
sec²x
cos²x+sin²x=
1 - sin²x =
1 - cos²x =
1+tan²x=
1
cos²x+sin²x=
cos²x
1 - sin²x =
90 terms
Trigonometry & Calculus ch 1-3
1
cos²x
sin²x
sec²x
cos²x+sin²x=
1 - sin²x =
1 - cos²x =
1+tan²x=
1
cos²x+sin²x=
cos²x
1 - sin²x =
23 terms
PreCalculus Trigonometry Identities
Reciprocal: sin x
Reciprocal: cos x
Reciprocal: csc x
Reciprocal: sec x
1/csc x
1/sec x
1/sin x
1/cos x
Reciprocal: sin x
1/csc x
Reciprocal: cos x
1/sec x
32 terms
Pre Calculus Trigonometry Identities
sin x
cos x
tan x
csc x
1/csc x
1/sec x
1/cot x
1/sin x
sin x
1/csc x
cos x
1/sec x
8 terms
Calculus: Derivatives of Trigonometry
d/dx(sin(x))
d/dx(sec(x))
d/dx(tan(x))
d/dx(cos(x))
cosx
secxtanx
sec^2x
-sinx
d/dx(sin(x))
cosx
d/dx(sec(x))
secxtanx
28 terms
AP Calculus
Trig Derivatives
Solids of Revolution
Solids of Known Cross Section
Integrals as Net Change
V=∫(from a to b) A(x)dx... A(x)=πr²... 1. Sketch the region... 2. Dete…
v=∫(from a to b) A(x)dx... 1. Sketch the region and a cross sect…
∫(from a to b) v(t)dt = Displacement, give the net change in…
Trig Derivatives
Solids of Revolution
V=∫(from a to b) A(x)dx... A(x)=πr²... 1. Sketch the region... 2. Dete…
12 terms
Calculus Trigonometry derivatives
sinx
tanx
secx
cosx
cosx
sec²x
secxtanx
-sinx
sinx
cosx
tanx
sec²x
69 terms
AP Calculus
related rates
taylor polynomials
sinx
cosx
define your variables and draw a picture... describe your info w…
take the equation they give you and derive and solve with the…
cosx
-sinx
related rates
define your variables and draw a picture... describe your info w…
taylor polynomials
take the equation they give you and derive and solve with the…
16 terms
Trigonometry Identities Review for Calculus
Reciprocal Identity:... cscӨ=
Reciprocal Identity:... secӨ=
Reciprocal Identity:... cotӨ=
Reciprocal Identity:... tanӨ=
1/sinӨ
1/cosӨ
1/tanӨ
sinӨ/cosӨ
Reciprocal Identity:... cscӨ=
1/sinӨ
Reciprocal Identity:... secӨ=
1/cosӨ
23 terms
Pre calculus identities trigonometry
1/sinx
1/cosx
1/tanx
1/cscx
Cscx
Secx
Cotx
Sinx
1/sinx
Cscx
1/cosx
Secx
11 terms
Calculus AB trigonometry
sin(2θ)
cos(2θ)
cos²(θ)
sin²(θ)
2sin(θ)cos(θ)
cos²(θ)-sin²(θ)... 1-2sin²(θ)... 2cos²(θ)-1
(1+cos(2θ))/2
(1-cos(2θ))/2
sin(2θ)
2sin(θ)cos(θ)
cos(2θ)
cos²(θ)-sin²(θ)... 1-2sin²(θ)... 2cos²(θ)-1
21 terms
Pre-Calculus Trigonometry
sin 0
cos 0
tan 0
sin ∏/2
0
1
0
1
sin 0
0
cos 0
1
30 terms
Calculus 2 Trigonometry Facts
Pythagorean Identities
tanx=
cotx=
cscx=
sin²x+cos²x=1... sec²x=tan²x+1... csc²x=cot²x+1
sinx/cosx
cosx/sinx
1/sinx
Pythagorean Identities
sin²x+cos²x=1... sec²x=tan²x+1... csc²x=cot²x+1
tanx=
sinx/cosx
35 terms
Pre Calculus Trigonometry
sinθ
cosθ
tanθ
cotθ
opposite/hypotenuse
adjacent/hypotenuse
opposite/adjacent
adjacent/opposite
sinθ
opposite/hypotenuse
cosθ
adjacent/hypotenuse
61 terms
Pre-calculus Final-Trigonometry
sinA=
cosA=
tanA=
cotA=
1/cscA
1/secA
1/cotA
1/tanA
sinA=
1/cscA
cosA=
1/secA
21 terms
Calculus Trigonometry Review
d/dx (sinx)
d/dx (cosx)
d/dx (tanx)
d/dx (cscx)
cosx
-sinx
sec^2x
-cscxcotx
d/dx (sinx)
cosx
d/dx (cosx)
-sinx
Calculus Trigonometry derivatives
sinx
tanx
secx
cosx
cosx
sec²x
secxtanx
-sinx
sinx
cosx
tanx
sec²x
12 terms
Calculus Trigonometry derivatives
sinx
tanx
secx
cosx
cosx
sec²x
secxtanx
-sinx
sinx
cosx
tanx
sec²x
6 terms
Calculus Trigonometry Derivatives
cotx
secx
cscx
tanx
-csc^2x
secxtanx
-cscxcotx
sec^2x
cotx
-csc^2x
secx
secxtanx
32 terms
Pre-Calculus Trigonometry Identities
sin x
cos x
tan x
csc x
1/csc x
1/sec x
1/cot x
1/sin x
sin x
1/csc x
cos x
1/sec x
16 terms
Trigonometry- Into to Calculus
π/4
3π/4
5π/4
7π/4
45
135
225
315
π/4
45
3π/4
135
6 terms
Calculus Trigonometry derivatives
*sinx*
*cosx*
*tanx*
*cotx*
cosx
−sinx
sec²x
−csc²x
*sinx*
cosx
*cosx*
−sinx
12 terms
Calculus Trigonometry derivatives
sinx
tanx
secx
cosx
cosx
sec²x
secxtanx
-sinx
sinx
cosx
tanx
sec²x
47 terms
Key Terms For AP Calculus
Natural Numbers
Integers
Whole Numbers
Rational Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
The set of whole numbers and their opposites
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
The set of any numbers that can be expressed as a fraction
Natural Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
Integers
The set of whole numbers and their opposites
17 terms
Pre-Calculus Trigonometry Identities
sin(x)=
csc(x)=
cos(x)=
sec(x)=
1/csc(x)
1/sin(x)
1/sec(x)
1/cos(x)
sin(x)=
1/csc(x)
csc(x)=
1/sin(x)
12 terms
Calculus Trigonometry derivatives
sinx
tanx
secx
cosx
cosx
sec²x
secxtanx
-sinx
sinx
cosx
tanx
sec²x
12 terms
Calculus Trigonometry derivatives
sinx
tanx
secx
cosx
cosx
sec²x
secxtanx
-sinx
sinx
cosx
tanx
sec²x
10 terms
PreCalculus Trigonometry Cards
Angle
Positive Angle
Negative Angle
Coterminal Angle
determined by rotating a ray about its end point starting at…
angle generated by counterclockwise rotation
angle generated by clockwise rotation
angles with the same initial and terminal sides
Angle
determined by rotating a ray about its end point starting at…
Positive Angle
angle generated by counterclockwise rotation
9 terms
Calculus Trigonometry Derivatives
(d/dx) cotx
(d/dx) secx
(d/dx) cscx
(d/dx) tanx
-csc^2x
secxtanx
-cscxcotx
sec^2x
(d/dx) cotx
-csc^2x
(d/dx) secx
secxtanx
23 terms
Pre calculus identities trigonometry
1/sinx
1/cosx
1/tanx
1/cscx
Cscx
Secx
Cotx
Sinx
1/sinx
Cscx
1/cosx
Secx
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