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Intro To Trigonometry
Rating: 5.0 out of 5(4 ratings)
17 students

Intro To Trigonometry

Your Complete Guide To Trigonometry And Unit Circle
Created byLonzo Fulwider
Last updated 9/2023
English

What you'll learn

  • Learn about different type of triangles such as: right triangle, obtuse triangle, acute triangle, isosceles triangle, scalene triangle, equilateral triangle
  • Learn radian and degree measure with conversion
  • Learn degree, minute, second conversion
  • Learn six trigonometry functions and the unit circle
  • Learn special right triangles
  • Learn reference angle
  • Learn trigonometric function of any angle
  • Learn fundamental identities
  • Learn verifying trigonometric identities
  • Learn sum and difference formulas
  • Learn double angle and half-angle identities
  • Learn graphing sine and cosine
  • Learn graphing tangent and cotangent graph
  • Learn inverse trigonometric functions
  • Learn law of sine and cosine
  • Learn polar equations
  • Learn powers and roots of complex numbers
  • Learn trigonometric form of complex numbers

Course content

1 section40 lectures12h 58m total length
  • Different Types Of Triangles8:10
  • Quiz 1: Different Types Of Triangles19:37
  • Right Triangles22:14
  • Part 2 Right Triangles8:40
  • More On Right Triangles39:41
  • Right Triangle Practice Problems
  • Quiz On Right Triangle3:37
  • Radian And Degree Measure With Conversion12:17
  • Radian And Degree Conversion Practice Problems
  • Quiz: On Radian And Degree Conversion2:49
  • Degree, Minute, Second Conversion10:59
  • Six Trigonometry Functions And The Unit Cicle24:07
  • Part 2 Of Six Trigonometry Function And The Unit Circle20:13
  • Quiz: Unit Circle And The Six Trigonometric Functions10:32
  • Special Right Triangles15:32
  • Part 2 Special Right Triangle12:49
  • Special Right Triangles Practice Problems
  • Quiz: Special Right Triangle2:41
  • Reference Angle14:32
  • Reference Angle Practice Problems
  • Trigonometric Functions Of Any Angle19:51
  • Part 2 Of Trigonometric Functions Of Any Angle10:14
  • Trigonometric Functions Of Any Angle Practice Problems
  • Quiz On Trigonometric Functions Of Any Angle4:27
  • Fundamental Identities36:31
  • Verifying Trigonometric Identities37:45
  • Verifying Trigonometric Identities Practice Problems
  • Sum And Difference Formulas34:30
  • Sum And Difference Formula Practice Problems
  • Double Angle And Half-Angle Identities43:06
  • Sine Graph Part 118:12
  • Part 2 Sine Graph34:47
  • Graphs Of Sine And Cosine Functions56:50
  • Graphing Tangent And Cotangent33:23
  • Inverse Trigonometric Functions53:33
  • Law Of Sines30:20
  • Law Of Cosine49:27
  • Polar Equations26:26
  • Powers And Roots Of Complex Numbers30:32
  • Trigonometric Form Of Complex Numbers30:28

Requirements

  • Just some basic algebra skills like algebra 1, and be somewhat familiar with cartesian plane.

Description

In this course you will learn the essential of a college level, and high school level trigonometry course. This course will cover:

  • Different type of triangles: right, obtuse, acute, isosceles, scalene, equilateral triangle

  • Radian and degree measure with conversion

  • Degree, minute, second conversion

  • Six trigonometry functions and the unit circle

  • Special right triangles

  • Reference angle

  • Trigonometric function of any angle

  • Fundamental identities

  • Verifying trigonometric identities

  • Sum and difference formulas

  • Double angle and half-angle identities

  • Graphing sine and cosine graphs

  • Graphing tangent and cotangent graphs

  • Inverse trigonometric functions

  • Law of sine and cosine

  • Polar equations

  • Powers and roots of complex numbers

  • Trigonometric form of complex numbers

    This course will first introduce the different type of triangles, and how determine which triangle you have. This course will go over the six trigonometric functions and the unit circle. This course will go over right triangles, and application problems related to right triangle problems. This course will go over radian and degree measure with conversion. This course will go over special right triangle, reference angle, trigonometric function of any angle. You will learn about fundamental identities, and use those fundamental identities to do proofs. You can find sine, cosine, and tangent of angles that's not within the unit circle by using sum and difference formulas. You will learn about double angle and half-angle identities. You will learn about graphing: sine, cosine, tangent, and cotangent graphs with its shift, reflection, and translation. You will learn about inverse trigonometric functions. You can find missing side lengths or missing angles by using law of sine and cosine. Finally, the course will end with: polar equations, powers and roots of complex numbers, trigonometric form of complex numbers.

Who this course is for:

  • This course is perfect for anyone who is taking or plan to take: trigonometry, precalculus, calculus 1.