Series: Trigonometry

how to obtain

04/14/2012

~ Lucas5

It's a great video, i wish to download.
I could download one video, that's wy I
bought this one.

Kinda rudimentary

09/25/2009

~ jfilip

The actual word problems were kind of silly dealing with kites and whatnot but the math was solid and bringing it all together from the problem was helpful.

The teacher person has a monotone voice but following along with or without sound is actually very easy. So if you need trig practice I found it helpful.

Below are the descriptions for each of the lessons included in the series:

• Trig: Basic Trigonometry Part I, Sin, Cos, Tan 300

  This 77 minute trigonometry lesson is for the beginning trigonometry student or is a good refresher for anyone who has not recently studied trigonometry. The lesson reviews triangles, the Pythagorean theorem and the 3 promaary trig ratios (Sine, Cosine and Tangent. In this lesson you will be introduced to the concepts of trigonometry and learn how to:
  - name the parts of a triangle and recognize acute, obtuse and right angle triangles; isosceles, equilateral and scalene triangles; and similar triangles
  - use the Pythagorean Theorem, hypotenuse, opposite side and adjacent side soh cah toa
  - find the sin, cos and tan of any angle,
  - use your calculator for trigonometry
  - find the length of the sides in any right angle triangle
  - find the unknown angle in any right angle triangle
  - solve right triangles

  This lesson contains explanations of the concepts and 27 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 135 Solving Linear Equations Part I (http://www.mindbites.com/lesson/5068)
  - 160 Operations with Radicals (http://www.mindbites.com/lesson/5065)

• Trig: Word Problems - Sine, Cosine & Tangent 305

  This 78 minute trigonometry lesson is an opportunity to see how the skills learned in Lesson 300 Basic Trigonometry Part I are used to solving word problems using the 3 primary trig ratios, sin, cos and tan. You find unknown sides and angles in right angle triangles to solve word problems that involve:
  - a kite on the end of a string, diagonal of a rectangle, support wires, shadows, ladders, trees, buildings, stairways and more
  - angle of elevation and angle of depression
  - rise & run
  
  Sample problem: An airplane is flying over a forest at an altitude of 1600 ft. when the pilot sights a fire. He measures the angle of depression and finds it to be 46 degrees. How far is the fire, to the nearest tenth of a ft. from a point on land directly below the airplane?

  This lesson contains explanations of the concepts and 17 example questions with step by step solutions plus 3 interactive review questions with solutions.

  The following lesson will help you with the fundamentals of this lesson:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)

• Trig: Applying Law of Cosines, Law of Sines, 310

  This 77 minute trigonometry lesson covers oblique triangles and will help you understand the difference between a right triangle and an oblique triangle, recognize acute and oblique triangles and how to work with:
  - the Law of Cosines for the ASA (angle side angle) and SSS (side side side) situations
  - the Law of Sines for the AAS (angle angle side) ASA (angle side angle) and SSA (side side angle) situations
  - the Law of Sines plus the ambiguous case

  This lesson contains explanations of the concepts and 15 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)
  - 305 Solving Word Problems Using Sine, Cosine and Tangent (http://www.mindbites.com/lesson/5121)

• Trig: Basic Trig Part II Sec, Csc & Cot 315

  This 67 minute trigonometry lesson follows Lesson 300 Basic Trigonometry Part I to study the 3 reciprocal trig ratios, cosecant (csc), secant (sec) and cotangent (cot) or ctn. Special angles and exact value are also covered. This lesson will show you how to:
  - find the reciprocal ratios of an acute angle
  - use your calculator with cosecant, secant and cotangent
  - use cosecant, secant and cotangent to solve problems
  - work with special angles (30, 45 & 60 degrees) and exact values (values obtained without the use of a calculator)

  This lesson contains explanations of the concepts and 15 example questions with step by step solutions plus 4 interactive review questions with solutions.

  The following lesson will help you with the fundamentals of this lesson:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)

• Trig: Trigonometry on the Coordinate Plane - 320

  This 73 minute trigonometry lesson covers angles in standard position, co-terminal angles and principal angles. The six trig ratios are defined for an angle in standard position and the CAST rule is introduced. The lesson finishes with finding reference angles. This lesson will show you how to :
  - draw positive and negative angles in standard position
  - find positive and negative angles co-terminal with a given angle
  - find the principal angle
  - work with the terminal arm, positive and negative angles,
  - find the six trig ratios of an angle in standard position in all four quadrants
  - use and understand the CAST rule
  - find reference angles
  - work with quadrantal angles

  This lesson contains explanations of the concepts and 15 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)
  - 315 Basic Trigonometry Part II (http://www.mindbites.com/lesson/5123)

• Trig: Solving 1st Degree Trig Equations 325

  This 60 minute trigonometry lesson covers the solution of first degree trig equations algebraically and graphically. This lesson will show you how to solve first degree Trig equations :
  - involving sin, cos, tan, csc, sec, & cot (ctn) using a calculator & exact values
  - using graphing technology
  - using a calculator and exact values

  Sample problem: Solve for Theta to the nearest degree, if 0 degrees <= Theta <= 360 degrees>
  Cos Theta = -0.1881

  This lesson contains explanations of the concepts and 20 example questions with step by step solutions plus 6 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)
  - 315 Basic Trigonometry Part II (http://www.mindbites.com/lesson/5123)
  - 320 Trigonometry on the Coordinate Plane (http://www.mindbites.com/lesson/5122)

• Trig: Radians, Arc Length, Solve1st Deg Eq'ns 330

  This 83 minute trigonometry lesson introduces radian measure, changing from degrees to radians and radians to degrees. This lesson will show you how to solve first degree trig equations in radians:
  - algebraically using the calculator in the radian mode
  - using graphing technology
  - using exact values for special angles in radians

  You will also learn how to:
  - change from degrees to radians and radians to degrees
  - find the length of an arc of a circle subtended by an angle in radians

  Sample problem: Solve for Theta, if 0 <= Theta <= 2Pi. (answer to the nearest hundredth). Cot Theta = - 9.1391

  This lesson contains explanations of the concepts and 22 example questions with step by step solutions plus 7 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)
  - 315 Basic Trigonometry Part II (http://www.mindbites.com/lesson/5123)
  - 320 Trigonometry on the Coordinate Plane (http://www.mindbites.com/lesson/5122)

• Trig: The Unit Circle, Degrees & Radians 335

  This 80 minute trigonometry lesson is a study of the Unit Circle (a circle with a radius of one unit) and its x and y coordinates. This lesson will show you how to find the exact value of the six trig ratios of:
  - all quadrantal angles 0 or 2 Pi radians, Pi/2 radians, Pi radians, 3Pi/2 radians,
  - angles with a reference angle of Pi/4 radians (45 degrees)
  - angles with a reference angle of Pi/6 (30 degrees)
  - angles with a reference angle of Pi/3 (30 degrees)
  
  This lesson contains explanations of the concepts and 12 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)
  - 315 Basic Trigonometry Part II (http://www.mindbites.com/lesson/5123)
  - 320 Trigonometry on the Coordinate Plane (http://www.mindbites.com/lesson/5122)
  - 330 Arc Length Solving 1st Degree Trig Equations (Radians) (http://www.mindbites.com/lesson/5130)

• Trig: Simplifying and Proving Identities 350

  This 64 minute trigonometry lesson will show you how to simplify and prove trigonometry expressions using the trig:
  - reciprocal identities
  - quotient identities
  - Pythagorean identities

  Sample problem: Prove sec Theta – cos Theta = sin Theta x tan Theta

  In addition to the trig identities the simplifying process will use will use algebra skills (finding a common denominator, multiplying, factoring, reciprocal ratios).

  This lesson contains explanations of the concepts and 18 example questions with step by step solutions plus 7 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 300 Basic Trigonometry Part I (http://www.mindbites.com/lesson/5125)
  - 315 Basic Trigonometry Part II (http://www.mindbites.com/lesson/5123)

• Trig: Sum, Difference &Double Angle Identities 355

  This 73 minute trigonometry lesson focuses on the four sum and difference identities: sin (A + B ), sin (A – B), cos (A + B), and cos (A - B). We'll also look at the double angle identities: sin (2A) and cos (2A).

  This lesson show you how to find:
  - exact value of angles using the sum and difference identities and special angles
  - write the sum and difference identities as single trig expressions
  - simplify expressions using the sum and difference identities
  - find the formulas for the double angle identities using the sum & difference identities

  This lesson contains explanations of the concepts and 20 example questions with step by step solutions plus 5 interactive review questions with solutions.

  Lessons that will help you with the fundamentals of this lesson include:
  - 315 Basic Trigonometry Part II (http://www.mindbites.com/lesson/5123)
  - 320 Trigonometry on the coordinate Plane (http://www.mindbites.com/lesson/5122)
  - 350 Simplifying Trig Expressions & Proving Trig Identities (http://www.mindbites.com/lesson/5119)

Supplementary Files:

• Once you purchase this series you will have access to these files: