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trigonometry

ALL trig ratios in one place

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Trigonometry
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trigonometry
Angle
Generalized trigonometry
Pythagorean Theorem
Identity

Trigonometric Identities Reference Angle Measures Basic Trigonometry Ratios Pythagorean Theorems Quotient Identities Reciprocal Identities 180?
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Precalc midterm study guide part 2

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Trigonometry
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trigonometry
Triangle geometry
Triangles
Ratios
Trigonometric functions
Triangle
Solution of triangles
Proofs of trigonometric identities

Name:______________________________ Date:_____________________________ Midterm Review (continued) 53. Solve the triangle ABC given a = 9, b= 7, c = 5. 54. Solve the triangle ABC given a = 7, b=6, measure of angle A=26.3?. 55. Find the area of a triangle with sides 13, 15, 18. 56. Sketch a graph of the following trigonometric functions using the standard trig viewing window. f(x) = csc x f(x) = cot x f(x) = tan x f(x) = sec x 57. Evaluate 8 7tan,8 3cos,8 5sin ??? , sin 165?. 58. P(-5,-12) is on the terminal side of an angle in standard position with measure ,? where 0 < ? < 2?.

Calculus AB #4

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Calculus
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trigonometry
Natural logarithm
Cofunction
Technology

Ws 4 ? TRIG VALUES Show your work in your NOTEBOOK! 1. Solve each such that 0 2x ?? ? . a. 3tan 3x ? b. 1sin 2x ? c. 3cos 2x ? d. tan 1x ? ? e. sin 1x ? ? f. cos 0x ? g. 2sin 2x ?? h. csc 2x ? ? i. 2 3sec 3x ? ? j. tan x is undefined. k. cot 0x ? 2. Solve each equation such that 0 2x ?? ? . a. 2cot cot 0x x? ? b. 22cos 7cos 4x x? ? c. 2 2cos sin sin 0x x x? ? ? d. 2 22sin 5sin 3sin 0x x x? ? ? e. 2sin 2cos 2x x? ? f. 24cos 1x ? g. 23cos 3 2sinx x? ? 3. RECALL! Evaluate each. a. 11sin 6 ? b. 3sin 2 ? c. cos? d. 2tan 3 ? e. csc 3 ? f. 4cos 3 ? 4. Solve each such that 0 2x ?? ? . Round each to 3 decimal places. a. sin 0.231x ? b. csc 2.675x ?? c. tan 0.219x ?? d. cot 1.290x ?

Precalculus Functions Anecdotes

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Calculus
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Mathematics
Mathematical analysis
geometry
trigonometry
Analytic geometry
Analytic functions
Functions and mappings
Conic sections
Hyperbola
Trigonometric functions
Sine
Logarithm
Precalculus Functions Anecdotes

1. Identity Function-This is the only function thats acts on every real number by leaving it alone 2. Square Root Function-Put any positive number into your calculator. Take the square root. Then take the square root again, and so on. Eventually you will always get 1. 3. Squaring Function-The graph of this function, called a parabola, had a reflection property that is useful in making flashlights and satellite dishes. 4. Cubing Function-The origin is called a ?point of inflection? for this curve because the graph changes the curvature at the point. 5. Reciprocal Function-This curve, called a hyperbola, also has a reflection property that is useful in satellite dishes. 6. Natural Log Function-This function increases very slowly. If the x-axis and y-axis

Pre-Calculus Functions Chart

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Calculus
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Mathematics
Mathematical analysis
trigonometry
Analytic functions
Trigonometric functions
Continuous function
Floor and ceiling functions
Sine
law
Other
Pre-Calculus Functions Chart

Sheet1 Formula Name Domain Range Increasing Interval Decreasing Interval Maximum Minimum x-Intercept y-Intercept End-Behavior VA HA Symmetry Continuity 1a(Parent) f(x)=x Identity Function (-?,?) (-?,?) (-?,?) None None None (0,0) (0,0) y-->? None None Odd Continuous 1b f(x)=x-6 None (-?,?) (-?,?) (-?,?) None None None (6,0) (0,-6) y-->? None None Neither Continuous 1c f(x)=x+3 None (-?,?) (-?,?) (-?,?) None None None (-3,0) (0,3) y-->? None None Neither Continuous 1d f(x)=3x None (-?,?) (-?,?) (-?,?) None None None (0,0) (0,0) y-->? None None Neither Continuous 1e f(x)=-x None (-?,?) (-?,?) None (-?,?) None None (0,0) (0,0) y-->-? None None Neither Continuous 1f f(x)=-3x+6 None (-?,?) (-?,?) None (-?,?) None None (2,0) (0,6) y-->-? None None Neither Continuous 1g y=a(x-h) +k

Handbook

Subject: 
Algebra
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Mathematical analysis
Mathematics
Analytic functions
Integral calculus
Complex analysis
trigonometry
Exponentials
Hyperbolic function
Bessel function
Euler's formula
Integration by parts
Differential equation

Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Bibliography; Physical Constants 1. Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Arithmetic and Geometric progressions; Convergence of series: the ratio test; Convergence of series: the comparison test; Binomial expansion; Taylor and Maclaurin Series; Power series with real variables; Integer series; Plane wave expansion

Summary of Trig Inverse Function

Subject: 
Trigonometry
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Mathematics
trigonometry
geometry
Mathematical analysis
Inverse trigonometric functions
Sine
Trigonometric functions
Unit Circle
Cartesian coordinate system
Inverse function

Trig Inverse Function Summary Function Meaning Domain Range Quadrants of Found on the (i.e., possible (i.e., possible the Unit Circle calculator by values for x) values for y) from Which Range Values Come j=sin!x y is the angle in the first or [-1, 1] [-nI2, n12] I and IV sin" (X) j=arcsin x fourth quadrant whose sine value is x j=cosir Y is the angle in the first or [-1, 1] [0, n] I and II cos-I(X) y=arccos x second quadrant whose cosine value is x j=tanix y is the angle in the first or (-00, (0) (-nl2, n12) I and IV tan" (X) y=arctanx fourth quadrant whose , tangent value is x

Trig formula sheet

Subject: 
Trigonometry
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Mathematics
Mathematical analysis
Special functions
trigonometry
Analytic functions
logarithms
Exponentials
Natural logarithm
Inverse function
Trigonometric functions
Sine
Inverse trigonometric functions
education

All Rights Reserved: http://regentsprep.org Algebra 2 ? Things to Remember! Exponents: 0 1x ? 1m m x x ? ? ?m n m nx x x ?? ?( )n m n mx x? m m n n x x x ?? n n n x x y y ? ? ?? ?? ? ( ) ?n n nxy x y? Complex Numbers: 1 i? ? ; 0a i a a? ? ? 2 1i ? ? 14 2 1i i? ? ? divide exponent by 4, use remainder, solve. ( ) conjugate ( )a bi a bi? ? 2 2( )( )a bi a bi a b? ? ? ? 2 2a bi a b? ? ? absolute value=magnitude Logarithms log yby x x b? ? ? ln logex x? natural log e = 2.71828? 10log logx x? common log Change of base formula: log log logb a a b
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