Trigonometry

Review for Final Exam
Go online to your ALEKS quiz tab to practice these objectives....

__**Part I (Angles):**__ Converting between degree and radian measure: Problem type 1 Converting between degree and radian measure: Problem type 2 Coterminal angles Sketching an angle in standard position Reference angles: Problem type 1 Arc length and central angle measure Area of a sector of a circle Angular and linear speed

__**Part II (Unit Circle)**__ Finding coordinates on the unit circle for special angles Finding a point on the unit circle given one coordinate Finding trigonometric ratios from a point on the unit circle

__**Part III (Right Triangle Trig)**__ Special right triangles Sine, cosine, and tangent ratios Finding trigonometric ratios given a right triangle Using a trigonometric ratio to find a side length in a right triangle Using trigonometry to find distances Using a trigonometric ratio to find an angle measure in a right triangle Using trigonometry to find angles of elevation or depression Solving a right triangle

__**Part IV (Trig Values SOHCAHTOA)**__ Trigonometric functions and special angles: Problem type 1 Trigonometric functions and special angles: Problem type 2 Trigonometric functions and special angles: Problem type 3 Finding values of trigonometric functions given information about an angle: Problem type 1

__**Part V (Identities)**__ Simplifying trigonometric expressions Using cofunction identities Sum and difference identities: Problem type 1 Double-angle identities: Problem type 1 Half-angle identities: Problem type 1

Graphing Sine and Cosine Functions -- Use this site to help you understand how to graph sine and cosine.

FREE Online Graphing Calculator -- This one is GREAT for trig! You will have to register, but it's free so I suggest you do.

Cofunction Identities:
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pjm8%25wkjmps8%7B%3E%25%60lp8%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="166" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60lp8%25wkjmps8%7B%3E%25pjm8%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="166" height="25"]] ||  ||   ||   ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60lw8%25wkjmps8%7B%3E%25wbm8%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="169" height="25"]] ||  ||   ||   ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60p%608%25wkjmps8%7B%3E%25pf%608%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="165" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25wbm8%25wkjmps8%7B%3E%25%60lw8%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="169" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pf%608%25wkjmps8%7B%3E%25%60p%608%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="165" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60p%608%25wkjmps8%7B%3E%25pf%608%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="165" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25wbm8%25wkjmps8%7B%3E%25%60lw8%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="169" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pf%608%25wkjmps8%7B%3E%25%60p%608%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="165" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pf%608%25wkjmps8%7B%3E%25%60p%608%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="165" height="25"]] ||  ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pf%608%25wkjmps8%7B%3E%25%60p%608%25wkjmps8%3Fal%7B%3D%2B%3Fofew%3D%3A3%23%25gfd8%23%2E%23%7B%3Fqjdkw%3D%2A%3F%2Cal%7B%3D width="165" height="25"]] ||  ||

Sum and Difference Identities:
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pjm8%23%2B%23B%23%25sovp8%23A%23%2A%23%3E%23%25pjm8%23B%23%25%60lp8%23A%23%25sovp8%23%25%60lp8%23B%23%25pjm8%23A width="319" height="24"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pjm8%23%2B%23B%23%25njmvp8%23A%23%2A%23%3E%23%25pjm8%23B%23%25%60lp8%23A%23%25njmvp8%23%25%60lp8%23B%23%25pjm8%23A width="319" height="24"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60lp8%23%2B%23B%23%25sovp8%23A%23%2A%23%3E%23%25%60lp8%23B%23%25%60lp8%23A%23%25njmvp8%23%25pjm8%23B%23%25pjm8%23A width="321" height="24"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60lp8%23%2B%23B%23%25njmvp8%23A%23%2A%23%3E%23%25%60lp8%23B%23%25%60lp8%23A%23%25sovp8%23%25pjm8%23B%23%25pjm8%23A width="321" height="24"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25wbm8%23%2B%23B%23%25sovp8%23A%23%2A%23%3E%23%3Fal%7B%3D%25wbm8%23B%23%25sovp8%23%25wbm8%23A%3Flufq%3D2%23%25njmvp8%23%25wbm8%23B%23%25wbm8%23A%3F%2Cal%7B%3D width="251" height="52"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25wbm8%23%2B%23B%23%25njmvp8%23A%23%2A%23%3E%23%3Fal%7B%3D%25wbm8%23B%23%25njmvp8%23%25wbm8%23A%3Flufq%3D2%23%25sovp8%23%25wbm8%23B%23%25wbm8%23A%3F%2Cal%7B%3D width="251" height="52"]] ||

Double-Angle Identities:



Half-Angle Identities:


 * || [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25pjm8%25wkjmps8%3Fal%7B%3Dv%3Flufq%3D1%3F%2Cal%7B%3D%25wkjmps8%3E%25wkjmps8%25sn8%25wkjmps8%3Fprqw%3D%3Fal%7B%3D2%23%2E%23%25%60lp8%25wkjmps8v%3Flufq%3D1%3F%2Cal%7B%3D%3F%2Cprqw%3D width="178" height="55"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25%60lp8%25wkjmps8%3Fal%7B%3Dv%3Flufq%3D1%3F%2Cal%7B%3D%25wkjmps8%3E%25wkjmps8%25sn8%25wkjmps8%3Fprqw%3D%3Fal%7B%3D2%23%28%23%25%60lp8%25wkjmps8v%3Flufq%3D1%3F%2Cal%7B%3D%3F%2Cprqw%3D width="180" height="55"]] ||
 * [[image:https://secure.aleks.com/alekscgi/x/math2htgif.exe/M?%25wbm8%25wkjmps8%3Fal%7B%3Dv%3Flufq%3D1%3F%2Cal%7B%3D%25wkjmps8%3E%25wkjmps8%25sn8%25wkjmps8%3Fprqw%3D%3Fal%7B%3D2%23%2E%23%25%60lp8%25wkjmps8v%3Flufq%3D2%23%28%23%25%60lp8%25wkjmps8v%3F%2Cal%7B%3D%3F%2Cprqw%3D%3E%3Fal%7B%3D%25pjm8%25wkjmps8v%3Flufq%3D2%23%28%23%25%60lp8%25wkjmps8v%3F%2Cal%7B%3D%3E%3Fal%7B%3D2%23%2E%23%25%60lp8%25wkjmps8v%3Flufq%3D%25pjm8%25wkjmps8v%3F%2Cal%7B%3D width="362" height="55"]] ||

Unit Circle