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Mathematics
Course Resources
MATH 1720 - Pre Calculus / Trigonometry
Resource List by Course Content
The resources listed on this page are meant only as general instruction materials. Students are expected to contact their instructors regarding the specific requirements for their classes.
*All video resources below link to Khan Academy unless otherwise noted
Chapter 6 – Trigonometric Functions
6.1 Angles and Their Measure
6.2 Right Triangle Trigonometry
6.3 The Sine and Cosine Functions and Their Graphs
6.4 Other Trigonometric Functions and Their Graphs
6.5 Graphing Trigonometric Functions
- Graph of the sine function
- Graphs of trig functions
- Graphing trig functions
- More trig graphs
- Determining the equation of a trigonometric function
6.6 Inverse Trigonometric Functions
Chapter 7 – Trigonometric Identities and Equations
7.1 Fundamental Identities
7.2 Verifying Identities
7.3 Trigonometric Equations
7.4 Sum and Difference Identities
- Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
- Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
- Trig identities part 2 (parr 4 if you watch the proofs)
- Trig identities part 3 (part 5 if you watch the proofs)
- Trigonometry Identity Review/Fun
7.5 Multiple-Angle Identities (optional to omit sum to product and product to sum)
Chapter 8 – Further Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
- Trigonometry word problems (part 1)
- Trigonometry word problems (part 2)
- Heron's Formula
- Law of cosines
- Navigation Word Problem
8.3 Vectors
8.4 Parametric Equations (treat an introduction only)
8.5 Polar equations (treat as introduction only)
8.6 Trigonometric Form and Roots of Complex Numbers
You may need section 3.3 on basic operations with complex number
Important review material:
- Pythagorean Theorem 1
- Pythagorean Theorem 2
- Pythagorean Theorem 3
-
Square Roots and Real Numbers
(our courses do not simplify square roots for your information only) -
Simplifying Square Roots
(our courses do not simplify square roots for your information only) -
Simplifying radicals
(our courses do not simplify square roots -- for your information only) -
How to Rationalize a Denominator
(some teachers do not require rationalizing the denominator – for your information only) - Introduction to the Pythagorean Theorem
- The Pythagorean Theorem
- Pythagorean Theorem II
- 45-45-90 Triangles
- Intro to 30-60-90 Triangles: A few more 45-45-90 examples
- 45-45-90 Triangle Side Ratios
- 30-60-90 Triangles II
- 30-60-90 Triangle Side Ratios Proof
- 30-60-90 Triangle Example Problem
