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Trigonometry Video Lessons

Any Angle Trigonometry Functions

• Definition of trigonometry function

• Simplify sin(2x/3 + 3pi/2)

• Given the angle a, find sin(a)

• Given cos100^o, find sin10^o

• Given tan (pi - 2a) = -13/12, find tan a

• Given angle a, find tan (pi/4 - 2a)

• Given P(-1, y) and sin a, find y

• Given angle a and value of sin a, find sin (a + pi/2)

• Find the value of sin 922.5^o

• Given: sin (9pi/2 + a) = 1/5, find cos a

• Find value of tan (a + pi/3)

• Find value of sin (- 13pi/3)

Sine line, cosine line and tangent line

• Compare sin55^o, cos55^o and tan55^o without using calculator

• Compare sin125^o, cos125^o and tan125^o without using calculator

• Compare sin (-125^o), cos (-125^o) and tan (-125^o) without using calculator

• Compare sin (-53^o), cos (-53^o) and tan (-53^o) without using calculator

Same Angle Trigonometry Functions

• Given cos(a) = -3/5, find tan(a)

• Given tan(A) = -4/3, find sin(A)

• Given tan a = -3/4, find cos a

• Find the value of sin a - cos a

• Find the value of cos (a - pi/6)

Double Angle Trigonometry Functions

• Given tan a = 1/2, find cos(2a)

• Find square root of (1 - sin 20 degrees)

• Find cos 2a from tan a = 5

Draw Graph of Sine Functions

• Draw the graph of y = sin x, x from 0 to 2pi

• Draw graph of y = sin(x) x in [-pi, pi]

• draw y = sin(x + pi/4) and y = sin(x - pi/2)

• Draw graph of y = sin2x

• Transform graph y = sin(x) to y = sin(x/2 - pi/6)

• Draw graph of y = sin(2x - pi/4)

• Draw graph of y = sin(2x + pi/4)

• Draw the graph of y = sin (2x - pi/3)

• Draw graph of y = sin(x/2)

• Draw the graph of y = cos (x) sin(x)

• Draw graph of y = sin (2x + pi/6) - cos²x

• Draw the graph of y = 2sin (x/2 - pi/3) + 1

• Draw graph of f(x) = cos x + (square root of 3) sin x

• Transform graph of y = sin x into y = sin(2x + 3pi/4)

Property of a Sine Graph

• f(x) = sin(2x + pi/4) is symmetry to

• Find properties of y = 2 sin (x/2 + pi/4)

• Find initial phase of the sine function y = sin (5x + C) + 1

Find Analytical Expression of a Sine Graph

• Write functions based on wave transformation

• Given graph, find its function f(x)

• Given graph, write the its function

• Given y = Asin(Bx + C), find A, B and C

• Given y = Asin(Bx + C) + b, find A, B, C and b

• Shift and shrink y = sin(2x - pi/6), find function

• Write function based on given sine graph

• Solving a simple harmonic motion problem

• Find analytical expression of the sine graph example1

• Find analytical expression of the sine graph example2

• Find analytical expression of the sine graph example3

• Find analytical expression of the sine graph example4

• Find initial phase of the sine graph

• Find function of current from graph

• Given part of a sine graph find its function

• Find sine function from its graph

Sine Graph Application

• Solving a simple harmonic motion problem

• Angle between the positive x-axis and a line

Draw Graph of Cosine Functions

• Draw graph of y = cos(x) x in [-pi, pi]

• Draw graph of y = 1 + cos(x)

• Draw the graph of y = -cos(x pi/2)

• Draw graph of y = cos2x

• Draw graph of y = -cos(2/3)x

• Draw the graph of y = cos x, x in [0, 2pi]

• Draw graph of y = cos (2x + pi/4)

• Draw graph of y = 3 sin (x/2 + 11pi/2)

Tangent functions

• Property of y = tan x

Draw the Graph of tangent Function

• Draw the graph of y = tan x

• Draw graph of y = tan (x - pi/3)

• Draw graph of y = tan 2x

• Draw graph of y = tan (2x - pi/3)

Find Maximum and Minimum Values of a Function

• Find max, min values of f(x) = 3 cos 2x + 2 sin²x - cos x

• Find max, min values of f(x) = 3 cos 2x + 2 sin²x - cos x

• Find max, min values of y = b sin ax

• Find min, max values of f(x) = cos²x - 5 cos x + 6

• Find max value of f(x) = sin²x - cos²x + 2sin x cos x

• Find max value and min periof of f(x) = sin (2x + pi/6) - cos²x

• Find max, min values of y = 4 cos²x + 1

• Find max, min values of y = cos²x - 2sin x + 1

Increase and Decrease Interval of a Function

• Find the monotonic increase intervalof a function

• Decrease interval of y = sin(2x + pi/4)

• find falling and rising intervals of y = 3 sin (pi/3 - 2x)

• Find monotonic rising interval of y = 2^sin2x

Range of a function

• Find range of y = 6 cos x - sin²x + 6, x in [pi/4, 3pi/4]

Find phase

• Find phase when moving a sine graph

Trigonometry Equation

• Sove a trigonometry equation

• Find value of 1/(sin²a + sin2a)

Find the Angle

• Find cos a and the angle a

• Values of special angles and y = cos(x)

Sine Law and Cosine Law

• Find largest angle and area of an oblique triangle

• Find the angle C

• Find radius of the circle

Domain of a Function

• How to find domain of a function?

• Find domain of y = log(2sin x - square root of 3)

• Find domain of y = log (1 - tan x)

Move graph of sine or cosine function

• Move graph

Find angle or angle set when given value of trigonometry function

• Given cos x = - 1/4, x from 0 to 2pi, find the set of angles

• Given sin x = - 0.7660, x from 0 to 2pi, find the set of angles

• Given tan x = -3, x from 0 to 2pi, find the set of angles

• Given sin (2x + pi/3) = -1/2, find the set of angles

Rotate a vector

• Rotate a vector find new coordinate

Content includes: any angle trigonometry functions, same angle trigonometry functions, double angle trigonometry functions, draw graph of sine functions, draw graph of cosine functions, sine graph property, sine graph applications, draw graph of a tangent function, domain of a function, maximum and minimum values of a function, trigonometry functions, find the angle a, sine law and cosine law.

The purpose of this website is to help students understand the topic of the mathematics talked in class. Help students improve the ability of self-studding. Hope students could listen carefully to the video and do the example your-self in order to find which concept to apply to solve this kind of problem, and review them later. Hope students could spend time on most important things such as, reading, writing, mathematics and science.

Mathematics can be self-learning. By good understanding mathematics, you can successfully graduate from college. So, you need to set a goal and works for your future, make progress each day, and get confident about yourself. Do each example yourself will help deep understanding those concepts in these topics. Opportunity is always for those who are prepared.

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