P30.2
Demonstrate understanding of the unit circle and its relationship to the six trigonometric ratios for any angle in standard position.
Indicators for this outcome
(a)

Derive the equation of a circle with centre $(0,0)$ and radius $r$.

(b)

Derive the equation of the unit circle from the application of the Pythagorean theorem or the distance formula.

(c)

Develop and generalize the six trigonometric ratios in terms of $x$, $y$, and $r$, using a point that is the intersection of the terminal arm of an angle with the unit circle.

(d)

Develop, generalize, and apply strategies for determining the six trigonometric ratios for any angle given a point on the terminal arm of the angle.

(e)

Determine, with technology, the approximate value of the trigonometric ratios for any angle (in radians or degrees).

(f)

Develop, generalize, explain, and apply strategies, including using the unit circle or a reference triangle, for determining the exact trigonometric ratios for angles whose measures are multiples of $0°$, $30°$, $45°$, $60°$, $90°$ (when expressed in degrees), $ 0, π/6, π/4, π/3 $, or $ π/2 $ (when expressed in radians).

(g)

Explain and apply strategies (with or without the use of technology) to determine the measures, in degrees or radians, of the angles in a specified domain that have a particular trigonometric ratio value.

(h)

Explain and apply strategies to determine the exact values of the other trigonometric ratios, given the value of one trigonometric ratio in a specified domain.

(i)

Sketch a diagram to represent the context of a problem that involves trigonometric ratios.

(j)

Solve situational questions using trigonometric ratios.

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R054350
McGraw-Hill Ryerson Pre-Calculus 12. Student Edition
The student text consists of four units. Each unit opens with a two-page spread. The first page introduces what the students will learn throughout the unit and the second page introduces the unit project. Throughout the chapters are project corner boxes that will assist students to gather information for their projects. Each unit culminates with the project wrap-up. The chapters include career information based on the skills that will be learned. Opportunities are provided for students to make connections between math and the real world or to make connections to what students already know or may be studying in other classes. The student resource includes a table of contents, an answer key, a glossary and an index.
(More information)
•  McGraw-Hill Ryerson Pre-Calculus 12. Interactive Student Resource DVD
•  McGraw-Hill Ryerson Pre-Calculus 12. Interactive Teacher's Resource DVD
•  McGraw-Hill Ryerson Pre-Calculus 12. Teacher's Resource (Print & CD-ROM)
•  McGraw-Hill Ryerson Pre-Calculus 12. Teacher's Resource Package (Print, CD-ROM, Interactive Teacher's Resource DVD)
Media and Formats : Book
Price : $81.29
Record posted/updated: August 13, 2019