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Trigonometry for Electrical Engineering
Highest Rated
Rating: 4.8 out of 5(17 ratings)
177 students

Trigonometry for Electrical Engineering

90% of what you will run into in electrical engineering
Highest Rated
Created byGraham Van Brunt P. Eng., B.Sc.
Last updated 10/2019
English
English [Auto],

What you'll learn

  • Trigonometry for electrical engineering

Course content

1 section • 12 lectures • 5h 4m total length

  • Introduction8:15

    Explore trigonometry’s role in electrical engineering, detailing angles, degrees and radians, the Pythagorean theorem, unit circle, and time-domain trig functions and identities used in power systems.

  • Point Lines & Angles12:55

    Explore core trigonometry concepts from points, lines, and angles to radians and degrees. Master conversions between degrees and radians, and identify acute, obtuse, and straight angles.

  • Intersecting & Parallel Lines Triangles11:26

    Explore the basics of intersecting and parallel lines, including perpendicularity, angle relationships, and corresponding, alternate, and supplementary angles in a transversal.

  • Triangles21:46

    Learn to name triangles by vertices and sides, classify by angles, apply the area formula, and understand congruence, similarity, and the triangle proportionality theorem.

  • The Pythagorean Theorem9:37

    Explore the pythagorean theorem, c squared equals a squared plus b squared for right triangles, and its geometric proof using squares on the sides.

  • Unique Triangles & Ratios13:01

    Explore unique triangles and their side ratios, including 30-60-90, 45-45-90, and 3-4-5 triangles, and apply the Pythagorean theorem to understand proportional relationships in electrical engineering.

  • Trig Functions & Tangents33:40

    Explore sine, cosine, and tangent in right triangles, plus similar triangles, cross-multiplication, and tangent lines to circles, using practical examples like surveying and circle geometry.

  • The Unit Circle1:20:23

    Explore the unit circle and trig functions, derive sine, cosine, and tangent identities including pythagorean identity sine squared plus cosine squared equals one, and survey laws of sines and cosines.

  • Trig Identities42:12

    Explore trig identities, including reciprocal and quotient identities, the Pythagorean identity, and negative angle identities, then prove and apply sum and difference formulas with examples.

  • Product to Sum Formulas22:53

    Explore product-to-sum and sum-to-product identities, proving four key formulas using sum and difference identities. Derive cofunction identities and apply them to trigonometric relationships in electrical engineering.

  • Double & Half Angle Formulas31:33

    Explore double angle and half angle formulas for sine, cosine, and tangent, using identities and half-angle derivations, with applications to ac circuits and phasor power analysis.

  • Trig Functions in the Time Domain16:39

    Explain how the time domain analyzes signals such as voltage or current using sine and cosine functions, showing omega t, unit circle relations, amplitude, and theta degrees.

Requirements

  • Intermediate mathematics; equations; binomials

Description

This course takes you from the fundamentals of trigonometry to the more sophisticated requirements in electrical engineering. As you work and study in electrical engineering you are going to run into proofs and equations that are based on trigonometry. A good example of this is when studying AC current, voltage and impedance calculations, phasors (vectors) are used and combined mathematically lending themselves to several needs to rely on trig functions and identities. Further adventures into complex power will also require a knowledge of trig functions and identities. As a student of this course, you will be introduced to these or at least re-introduced to these that may have been long since forgotten.


The student will begin at defining Point Lines & Angles, Intersecting & Parallel Lines and Triangles. This will lead to one of the most fundamental and used theorems in engineering, such as “The Pythagorean Theorem”. After a look at Unique Triangles and the Ratios of their sides, the student will go on to learn several of the most used Trig functions including those involving Tangents. Next, the Unit Circle will be defined as it leads to several Trig Identities; Sum to/from/product co-functions, double & half-angle formulas. Lastly, the student will look at Trig Functions in the Time Domain


Here is gathered what I believe are the most significant trigonometric items.


Who this course is for:

  • engineers & technologists, students of engineering & technology

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