Here are some notes, mostly unedited, from each day's lecture of a class from Spring 2017. For each day, there may also be a link to lectures from a similar course of Spring 2015.
Jan 31 - introduction; review of special triangles; see Notes of 1/28/15
Feb 2 - more on special triangles; five ways to look at functions; see Notes of 1/28/15
Feb 7 - 1.1 degrees, minutes, seconds, see 2/2/15; 1.3 ratio defn of trig fns, see 2/9/15
Feb 9 - 1.4 range of trig functions, reciprocal, pythagorean identities; see also 2/9/15
Feb 14 - 1.4 quotient identities, 2.1 right triangle defn of trig functions, see also 2/11/15
Feb 16 - 2.1 right triangle defn, cofunction identities
Feb 21 - 2.2 reference angles, 2.3 using a calculator with trig functions
Feb 23 - 2.3 find an angle given a value of a trig function
Feb 28 - 2.4 solving right triangles, 2.5 bearing
Mar 2 - 3.1 radian measure, 3.2 arc length; see 2/4/15 for area of a sector
Mar 7 - review for Test 1; see a sample test and its answer key
Mar 9 - Test 1
Mar 14 - 3.3 unit circle definition of trig functions
Mar 16 - 4.1 graph of sine and cosine functions
Mar 21 - 4.2 translations of sine, cosine graphs
Mar 23 - 4.2 translations of sine, cosine graphs; 4.3 graph of tangent, cotangent
Apr 4 - graph example; 5.1 fundamental identities
Apr 6 - 5.1 fundamental identities; 5.2 verifying identities
Apr 11 - 5.2 verifying identities; 5.3 sum, difference identities for cosine
Apr 13 - 5.4 sum, difference identities for sine, tangent
Apr 18 - Test 2
Apr 20 - 5.5 double angle identities, product-to-sum
Apr 25 - 5.6 half-angle identities; 6.1 inverse sine function
Apr 27 - 6.1 inverse cosine, inverse tangent functions
May 2 - 6.2 trig equations I
May 4 - 6.3 trig equations II
May 9 - 7.1 law of sines
Here are some lecture notes, mostly unedited, from the approximately equivalent Trigonometry course, Math 104, at San Diego Mesa College in Spring 2015. The sections here refer to the textbook for that course, Trigonometry, 4th ed, Mark Dugopolski.
Notes of Jan 28 - special triangles; five ways to think about functions
Notes of Feb 2 - 1.1 degrees, minutes, seconds; 1.2 intro to radians
Notes of Feb 4 - 1.2 radians, arc length, area of a sector
Notes of Feb 9 - 1.3 angular velocity; 1.4 ratio defn of trig functions, famous angles
Notes of Feb 11 - 1.5 right triangle definition of trig fns, solving right triangles
Notes of Feb 18 - 1.5 solving right triangles; 1.6 reference angles, pythagorean identities
Notes of Feb 25 - 2.1 unit circle definition of trig functions; graph of sine, cosine functions
Notes of Mar 2 - 2.1 graph of sine, cosine; 2.2 graph with period ≠ 2π
Notes of Mar 4 - 2.2 graph → equation; 2.4 graph of tangent function
Notes of Mar 9 - summary of 2.1-2.4, graphs of all six trig functions
Notes of Mar 11 - 3.1 basic identities: pythagorean, reciprocal, quotient, odd/even
Notes of Mar 16 - 3.2 verifying identities
Notes of Mar 18 - 3.2 sum and difference identities for cosine
Notes of Mar 23 - 3.2 sum and difference identities for cosine (cont'd)
Notes of Apr 6 - 3.4 sum and difference ids for sine and tangent; 3.5 double angles ids
Notes of Apr 8 - 3.5 double and half angle identities
Notes of Apr 13 - 3.5 half angle ids; 3.6 product-to-sum, sum-to-product ids; 4.1 inverse trig functions
Notes of Apr 15 - 4.1 inverse trig functions; 4.2 basic trig equations
Notes of Apr 20 - 4.2 basic trig equations; 4.3 multiple angle equations
Notes of Apr 22 - 4.4 quadratic-type equations
Notes of Apr 29 - 5.1 law of sines, ASA, SSA
Notes of May 4 - 5.2 law of cosines, SAS, SSS
Notes of May 6 - 5.3 area of a triangle; 5.4 vectors
Notes of May 11 - 5.4 vectors (cont'd)
Notes of May 13 - 5.5 applications of vectors
Notes of May 18 - 6.1 complex numbers; 6.2 polar form; 6.3 powers, roots of complex numbers
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