![Picture](/uploads/2/6/2/1/26215381/editor/476652172.png?250)
Curriculum Outcomes
Trigonometry: Develop trigonometric reasoning.
1. Demonstrate an understanding of angles in standard position [0° to 360°].[R, V]
2. Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position. [C, ME, PS, R, T, V][ICT: C6–4.1]
3. Solve problems, using the cosine law and sine law, including the ambiguous case. [C, CN, PS, R, T] [ICT: C6–4.1]
Trigonometry: Develop trigonometric reasoning.
1. Demonstrate an understanding of angles in standard position [0° to 360°].[R, V]
2. Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position. [C, ME, PS, R, T, V][ICT: C6–4.1]
3. Solve problems, using the cosine law and sine law, including the ambiguous case. [C, CN, PS, R, T] [ICT: C6–4.1]
![Picture](/uploads/2/6/2/1/26215381/252283602.png?250)
Things You Need to Know
- Angles can be written in standard position between 0 and 360 degrees.
- Angles can have the same terminal arm, and are known as being coterminal.
- The reference angle is the angle between the nearest x axis and the terminal arm.
- Reference angles can be used to find x, y coordinates as well as the length of the terminal arm.
- The sine law is one method of finding angles and sides in non right triangles.
- Due to the nature of sine, there are ambiguous cases to the sine law. It is important to consider the context carefully.
- The cosine law is another way to solve non right triangles.
- When to use sine law vs cosine law:
- Sine Law:
- SSA (angle not enclosed between two known sides) and ASA triangles
- SSA (angle not enclosed between two known sides) and ASA triangles
- Cosine Law:
- SAS (two known sides and the angle between them) and SSS
- SAS (two known sides and the angle between them) and SSS
- Sine Law: