Trigonometry
Explore the world of trigonometry by mastering right triangles and their applications, understanding and graphing trig functions, solving problems involving non-right triangles, and unlocking the power of trigonometric equations and identities. This course builds foundational skills and real-world problem-solving techniques essential for advanced math and science studies.
4 units83 videos10 hours
Learn it live with a class on Puzzicle · Teachers: use it with your class
Unit 1: Right triangles & trigonometry
Ratios in right triangles
Introduction to the trigonometric ratios
Solving for a side in a right triangle using the trigonometric ratios
Sine and cosine of complementary angles
Modeling with right triangles
The reciprocal trigonometric ratios
Unit 2: Trigonometric functions
Unit circle introduction
Radians
The Pythagorean identity
Special trigonometric values in the first quadrant
Trigonometric values on the unit circle
Graphs of sin(x), cos(x), and tan(x)
Amplitude, midline, and period
Transforming sinusoidal graphs
Graphing sinusoidal functions
Sinusoidal models
Unit 3: Non-right triangles & trigonometry
Law of sines
Law of cosines
Solving general triangles
Unit 4: Trigonometric equations and identities
Inverse trigonometric functions
Sinusoidal equations
Sinusoidal models
Angle addition identities
Trig angle addition identities ✓ Check-ins11:07
Using the cosine angle addition identity ✓ Check-ins5:14
Using the cosine double-angle identity ✓ Check-ins3:28
Proof of the sine angle addition identity ✓ Check-ins8:26
Proof of the cosine angle addition identity ✓ Check-ins6:02
Proof of the tangent angle sum and difference identities ✓ Check-ins6:55
Using trigonometric identities
Finding trig values using angle addition identities ✓ Check-ins8:35
Using the tangent angle addition identity ✓ Check-ins6:29
Using trig angle addition identities: finding side lengths ✓ Check-ins5:20
Using trig angle addition identities: manipulating expressions ✓ Check-ins6:12
Using trigonometric identities ✓ Check-ins3:07
Challenging trigonometry problems
Trig challenge problem: area of a triangle ✓ Check-ins16:35
Trig challenge problem: area of a hexagon ✓ Check-ins ✎ Fixed a slip18:18
Trig challenge problem: cosine of angle-sum ✓ Check-ins7:14
Trig challenge problem: arithmetic progression ✓ Check-ins15:13
Trig challenge problem: maximum value ✓ Check-ins ✎ Fixed a slip9:54
Trig challenge problem: multiple constraints ✓ Check-ins ✎ Fixed a slip12:49
Trig challenge problem: system of equations ✓ Check-ins11:02
Learn this with a class
With a class on Puzzicle this course runs as a timetable of live study parties: your batch watches together and answers the check-ins, sometimes with a teacher leading.
Course content © Khan Academy, used under CC BY-NC-SA. See this course on Khan Academy.