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Trigonometry Video Lessons

Any Angle Trigonometry Functions

• Given the angle a, find sin(a)
• Given cos100^o, find sin10^o
• Any angle trigonometry function
• 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

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

Double Angle Trigonometry Functions

• Given tan a = 1/2, find cos(2a)

Draw the Graph of Sine Functions

• Draw the graph of y = sin x, x from -pi to pi
• Draw the graph of y = sin x, x from 0 to 2pi
• Draw graph of y = sin(2x)
• Draw graph of y = sin(x/2)
• Draw y = sin (x + pi/4) and y = sin(x - pi/2)
• 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)
• Simplify sin (2x/3 + 3pi/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

Property of a Sine Graph

• f(x) = sin (2x + pi/4) is symmetry to
• Decrease interval of y = sin (2x + pi/4)
• Find the monotonic increase intervalof a function
• Find properties of y = 2 sin (x/2 + pi/4)

Sine Graph Transformation

• Transform graph y = sin (x) to y = sin (x/2 - pi/6)
• Write functions based on wave transformation
• Shift and shrink y = sin (2x - pi/6), find function

Write 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
• Write function based on given sine graph
• Find analytical expression of the sine graph example1
• Find analytical expression of the sine graph example2
• Find analytical expression of the sine graph example3

Sine Graph Application

• Solving a simple harmonic motion problem
• Angle between the positive x-axis and a line

Draw the Graph of Cosine Functions

• Draw graph of y = cos (x),x in [-pi, pi]
• Draw the graph of y = cos x, x in [0, 2pi]
• How to draw the graph of y = cos2x?
• Draw graph of y = -cos (2/3)x
• Draw graph of y = 1 + cos (x)
• Values of special angles and y = cos (x)
• Draw the graph of y = -cos (x pi/2)
• Draw graph of y = cos (2x + pi/4)
• Draw graph of y = 3 sin (x/2 + 11pi/2)

Draw the Graph of tan x

• Draw the graph of y = tan x

Find domain of a function

• Find domain of y = log (1 - tan x)

Find maximum and minimum values of a function

• Find max, min values of f(x) = 3 cos 2x + 2 sin²x - cos x
• Find range of y = 6 cos x - sin²x + 6, x in [pi/4, 3pi/4]
• Find max, min values of y = b sin ax
• find falling and rising intervals of y = 3 sin (pi/3 - 2x)

Trigonometry Equation

• Sove a trigonometry equation
• Find value of 1/(sin²a + sin2a)

Find the angle a

• Find cos a and the angle a

Sine law and cosine law

• Find largest angle and area of an oblique triangle
• Find the angle C

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 graduate from college no more than four years. 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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